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Finding the Third Proportional to 411,486 and 587,292

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Solution

The third proportional to 411,486 and 587,292 is: 838,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,486 : 587,292 = 587,292 : x
  2. Step 2: Convert to fraction form
    411,486/587,292 = 587,292/x
  3. Step 3: Cross multiply
    411,486x = 587,292 × 587,292
  4. Step 4: Simplify right side
    411,486x = 344,911,893,264
  5. Step 5: Solve for x
    x = 344,911,893,264/411,486
  6. Step 6: Final answer
    x = 838,210.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.