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Finding the Third Proportional to 71,959 and 157,031

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Solution

The third proportional to 71,959 and 157,031 is: 342,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,959 : 157,031 = 157,031 : x
  2. Step 2: Convert to fraction form
    71,959/157,031 = 157,031/x
  3. Step 3: Cross multiply
    71,959x = 157,031 × 157,031
  4. Step 4: Simplify right side
    71,959x = 24,658,734,961
  5. Step 5: Solve for x
    x = 24,658,734,961/71,959
  6. Step 6: Final answer
    x = 342,677.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.