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Finding the Third Proportional to 380,542 and 811,750

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Solution

The third proportional to 380,542 and 811,750 is: 1,731,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,542 : 811,750 = 811,750 : x
  2. Step 2: Convert to fraction form
    380,542/811,750 = 811,750/x
  3. Step 3: Cross multiply
    380,542x = 811,750 × 811,750
  4. Step 4: Simplify right side
    380,542x = 658,938,062,500
  5. Step 5: Solve for x
    x = 658,938,062,500/380,542
  6. Step 6: Final answer
    x = 1,731,577.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.