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Finding the Third Proportional to 62,154 and 138,340

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Solution

The third proportional to 62,154 and 138,340 is: 307,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,154 : 138,340 = 138,340 : x
  2. Step 2: Convert to fraction form
    62,154/138,340 = 138,340/x
  3. Step 3: Cross multiply
    62,154x = 138,340 × 138,340
  4. Step 4: Simplify right side
    62,154x = 19,137,955,600
  5. Step 5: Solve for x
    x = 19,137,955,600/62,154
  6. Step 6: Final answer
    x = 307,911.89

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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.