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Finding the Third Proportional to 138,603 and 291,695

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Solution

The third proportional to 138,603 and 291,695 is: 613,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,603 : 291,695 = 291,695 : x
  2. Step 2: Convert to fraction form
    138,603/291,695 = 291,695/x
  3. Step 3: Cross multiply
    138,603x = 291,695 × 291,695
  4. Step 4: Simplify right side
    138,603x = 85,085,973,025
  5. Step 5: Solve for x
    x = 85,085,973,025/138,603
  6. Step 6: Final answer
    x = 613,882.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.