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Finding the Third Proportional to 71,542 and 141,283

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Solution

The third proportional to 71,542 and 141,283 is: 279,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,542 : 141,283 = 141,283 : x
  2. Step 2: Convert to fraction form
    71,542/141,283 = 141,283/x
  3. Step 3: Cross multiply
    71,542x = 141,283 × 141,283
  4. Step 4: Simplify right side
    71,542x = 19,960,886,089
  5. Step 5: Solve for x
    x = 19,960,886,089/71,542
  6. Step 6: Final answer
    x = 279,009.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.