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Finding the Third Proportional to 62,160 and 138,352

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Solution

The third proportional to 62,160 and 138,352 is: 307,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,160 : 138,352 = 138,352 : x
  2. Step 2: Convert to fraction form
    62,160/138,352 = 138,352/x
  3. Step 3: Cross multiply
    62,160x = 138,352 × 138,352
  4. Step 4: Simplify right side
    62,160x = 19,141,275,904
  5. Step 5: Solve for x
    x = 19,141,275,904/62,160
  6. Step 6: Final answer
    x = 307,935.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.