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Finding the Third Proportional to 71,447 and 157,471

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Solution

The third proportional to 71,447 and 157,471 is: 347,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,447 : 157,471 = 157,471 : x
  2. Step 2: Convert to fraction form
    71,447/157,471 = 157,471/x
  3. Step 3: Cross multiply
    71,447x = 157,471 × 157,471
  4. Step 4: Simplify right side
    71,447x = 24,797,115,841
  5. Step 5: Solve for x
    x = 24,797,115,841/71,447
  6. Step 6: Final answer
    x = 347,070.08

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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.