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Finding the Third Proportional to 272,042 and 576,412

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Solution

The third proportional to 272,042 and 576,412 is: 1,221,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,042 : 576,412 = 576,412 : x
  2. Step 2: Convert to fraction form
    272,042/576,412 = 576,412/x
  3. Step 3: Cross multiply
    272,042x = 576,412 × 576,412
  4. Step 4: Simplify right side
    272,042x = 332,250,793,744
  5. Step 5: Solve for x
    x = 332,250,793,744/272,042
  6. Step 6: Final answer
    x = 1,221,321.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.