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Finding the Third Proportional to 139,720,697,689.50 and 303,921,906,309

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Solution

The third proportional to 139,720,697,689.50 and 303,921,906,309 is: 661,094,073,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720,697,689.50 : 303,921,906,309 = 303,921,906,309 : x
  2. Step 2: Convert to fraction form
    139,720,697,689.50/303,921,906,309 = 303,921,906,309/x
  3. Step 3: Cross multiply
    139,720,697,689.50x = 303,921,906,309 × 303,921,906,309
  4. Step 4: Simplify right side
    139,720,697,689.50x = 92,368,525,134,496,576,569,344
  5. Step 5: Solve for x
    x = 92,368,525,134,496,576,569,344/139,720,697,689.50
  6. Step 6: Final answer
    x = 661,094,073,118.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.