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Finding the Third Proportional to 553,272 and 878,292

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Solution

The third proportional to 553,272 and 878,292 is: 1,394,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,272 : 878,292 = 878,292 : x
  2. Step 2: Convert to fraction form
    553,272/878,292 = 878,292/x
  3. Step 3: Cross multiply
    553,272x = 878,292 × 878,292
  4. Step 4: Simplify right side
    553,272x = 771,396,837,264
  5. Step 5: Solve for x
    x = 771,396,837,264/553,272
  6. Step 6: Final answer
    x = 1,394,245.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.