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Finding the Third Proportional to 62,352 and 137,828

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Solution

The third proportional to 62,352 and 137,828 is: 304,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,352 : 137,828 = 137,828 : x
  2. Step 2: Convert to fraction form
    62,352/137,828 = 137,828/x
  3. Step 3: Cross multiply
    62,352x = 137,828 × 137,828
  4. Step 4: Simplify right side
    62,352x = 18,996,557,584
  5. Step 5: Solve for x
    x = 18,996,557,584/62,352
  6. Step 6: Final answer
    x = 304,666.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.