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Finding the Third Proportional to 281,513 and 414,822

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Solution

The third proportional to 281,513 and 414,822 is: 611,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,513 : 414,822 = 414,822 : x
  2. Step 2: Convert to fraction form
    281,513/414,822 = 414,822/x
  3. Step 3: Cross multiply
    281,513x = 414,822 × 414,822
  4. Step 4: Simplify right side
    281,513x = 172,077,291,684
  5. Step 5: Solve for x
    x = 172,077,291,684/281,513
  6. Step 6: Final answer
    x = 611,258.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.