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Finding the Third Proportional to 71,280 and 153,711

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Solution

The third proportional to 71,280 and 153,711 is: 331,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 153,711 = 153,711 : x
  2. Step 2: Convert to fraction form
    71,280/153,711 = 153,711/x
  3. Step 3: Cross multiply
    71,280x = 153,711 × 153,711
  4. Step 4: Simplify right side
    71,280x = 23,627,071,521
  5. Step 5: Solve for x
    x = 23,627,071,521/71,280
  6. Step 6: Final answer
    x = 331,468.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.