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Finding the Third Proportional to 78,639,369 and 123,091,215

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Solution

The third proportional to 78,639,369 and 123,091,215 is: 192,669,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,639,369 : 123,091,215 = 123,091,215 : x
  2. Step 2: Convert to fraction form
    78,639,369/123,091,215 = 123,091,215/x
  3. Step 3: Cross multiply
    78,639,369x = 123,091,215 × 123,091,215
  4. Step 4: Simplify right side
    78,639,369x = 15,151,447,210,176,224
  5. Step 5: Solve for x
    x = 15,151,447,210,176,224/78,639,369
  6. Step 6: Final answer
    x = 192,669,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.