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Finding the Third Proportional to 71,460 and 157,020

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Solution

The third proportional to 71,460 and 157,020 is: 345,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,460 : 157,020 = 157,020 : x
  2. Step 2: Convert to fraction form
    71,460/157,020 = 157,020/x
  3. Step 3: Cross multiply
    71,460x = 157,020 × 157,020
  4. Step 4: Simplify right side
    71,460x = 24,655,280,400
  5. Step 5: Solve for x
    x = 24,655,280,400/71,460
  6. Step 6: Final answer
    x = 345,022.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.