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Finding the Third Proportional to 139,989.38 and 216,172.13

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Solution

The third proportional to 139,989.38 and 216,172.13 is: 333,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,989.38 : 216,172.13 = 216,172.13 : x
  2. Step 2: Convert to fraction form
    139,989.38/216,172.13 = 216,172.13/x
  3. Step 3: Cross multiply
    139,989.38x = 216,172.13 × 216,172.13
  4. Step 4: Simplify right side
    139,989.38x = 46,730,387,627.02
  5. Step 5: Solve for x
    x = 46,730,387,627.02/139,989.38
  6. Step 6: Final answer
    x = 333,813.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.