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Finding the Third Proportional to 62,528 and 138,880

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Solution

The third proportional to 62,528 and 138,880 is: 308,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,528 : 138,880 = 138,880 : x
  2. Step 2: Convert to fraction form
    62,528/138,880 = 138,880/x
  3. Step 3: Cross multiply
    62,528x = 138,880 × 138,880
  4. Step 4: Simplify right side
    62,528x = 19,287,654,400
  5. Step 5: Solve for x
    x = 19,287,654,400/62,528
  6. Step 6: Final answer
    x = 308,464.28

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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.