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Finding the Third Proportional to 129,424 and 282,272

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Solution

The third proportional to 129,424 and 282,272 is: 615,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,424 : 282,272 = 282,272 : x
  2. Step 2: Convert to fraction form
    129,424/282,272 = 282,272/x
  3. Step 3: Cross multiply
    129,424x = 282,272 × 282,272
  4. Step 4: Simplify right side
    129,424x = 79,677,481,984
  5. Step 5: Solve for x
    x = 79,677,481,984/129,424
  6. Step 6: Final answer
    x = 615,631.43

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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.