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Finding the Third Proportional to 281,727 and 616,830

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Solution

The third proportional to 281,727 and 616,830 is: 1,350,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,727 : 616,830 = 616,830 : x
  2. Step 2: Convert to fraction form
    281,727/616,830 = 616,830/x
  3. Step 3: Cross multiply
    281,727x = 616,830 × 616,830
  4. Step 4: Simplify right side
    281,727x = 380,479,248,900
  5. Step 5: Solve for x
    x = 380,479,248,900/281,727
  6. Step 6: Final answer
    x = 1,350,524.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.