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Finding the Third Proportional to 551,002 and 851,438

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Solution

The third proportional to 551,002 and 851,438 is: 1,315,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,002 : 851,438 = 851,438 : x
  2. Step 2: Convert to fraction form
    551,002/851,438 = 851,438/x
  3. Step 3: Cross multiply
    551,002x = 851,438 × 851,438
  4. Step 4: Simplify right side
    551,002x = 724,946,667,844
  5. Step 5: Solve for x
    x = 724,946,667,844/551,002
  6. Step 6: Final answer
    x = 1,315,687.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.