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Finding the Third Proportional to 62,617 and 138,742

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Solution

The third proportional to 62,617 and 138,742 is: 307,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,617 : 138,742 = 138,742 : x
  2. Step 2: Convert to fraction form
    62,617/138,742 = 138,742/x
  3. Step 3: Cross multiply
    62,617x = 138,742 × 138,742
  4. Step 4: Simplify right side
    62,617x = 19,249,342,564
  5. Step 5: Solve for x
    x = 19,249,342,564/62,617
  6. Step 6: Final answer
    x = 307,414.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.