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Finding the Third Proportional to 239,952 and 521,328

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Solution

The third proportional to 239,952 and 521,328 is: 1,132,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,952 : 521,328 = 521,328 : x
  2. Step 2: Convert to fraction form
    239,952/521,328 = 521,328/x
  3. Step 3: Cross multiply
    239,952x = 521,328 × 521,328
  4. Step 4: Simplify right side
    239,952x = 271,782,883,584
  5. Step 5: Solve for x
    x = 271,782,883,584/239,952
  6. Step 6: Final answer
    x = 1,132,655.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.