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Finding the Third Proportional to 71,970 and 157,041

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Solution

The third proportional to 71,970 and 157,041 is: 342,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970 : 157,041 = 157,041 : x
  2. Step 2: Convert to fraction form
    71,970/157,041 = 157,041/x
  3. Step 3: Cross multiply
    71,970x = 157,041 × 157,041
  4. Step 4: Simplify right side
    71,970x = 24,661,875,681
  5. Step 5: Solve for x
    x = 24,661,875,681/71,970
  6. Step 6: Final answer
    x = 342,668.83

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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.