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Finding the Third Proportional to 542,376 and 788,940

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Solution

The third proportional to 542,376 and 788,940 is: 1,147,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,376 : 788,940 = 788,940 : x
  2. Step 2: Convert to fraction form
    542,376/788,940 = 788,940/x
  3. Step 3: Cross multiply
    542,376x = 788,940 × 788,940
  4. Step 4: Simplify right side
    542,376x = 622,426,323,600
  5. Step 5: Solve for x
    x = 622,426,323,600/542,376
  6. Step 6: Final answer
    x = 1,147,591.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.