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Finding the Third Proportional to 177,830 and 272,666

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Solution

The third proportional to 177,830 and 272,666 is: 418,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,830 : 272,666 = 272,666 : x
  2. Step 2: Convert to fraction form
    177,830/272,666 = 272,666/x
  3. Step 3: Cross multiply
    177,830x = 272,666 × 272,666
  4. Step 4: Simplify right side
    177,830x = 74,346,747,556
  5. Step 5: Solve for x
    x = 74,346,747,556/177,830
  6. Step 6: Final answer
    x = 418,077.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.