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Finding the Third Proportional to 71,666 and 155,770

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Solution

The third proportional to 71,666 and 155,770 is: 338,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,666 : 155,770 = 155,770 : x
  2. Step 2: Convert to fraction form
    71,666/155,770 = 155,770/x
  3. Step 3: Cross multiply
    71,666x = 155,770 × 155,770
  4. Step 4: Simplify right side
    71,666x = 24,264,292,900
  5. Step 5: Solve for x
    x = 24,264,292,900/71,666
  6. Step 6: Final answer
    x = 338,574.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.