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Finding the Third Proportional to 138,429 and 291,438

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Solution

The third proportional to 138,429 and 291,438 is: 613,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,429 : 291,438 = 291,438 : x
  2. Step 2: Convert to fraction form
    138,429/291,438 = 291,438/x
  3. Step 3: Cross multiply
    138,429x = 291,438 × 291,438
  4. Step 4: Simplify right side
    138,429x = 84,936,107,844
  5. Step 5: Solve for x
    x = 84,936,107,844/138,429
  6. Step 6: Final answer
    x = 613,571.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.