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Finding the Third Proportional to 387,548 and 831,151

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Solution

The third proportional to 387,548 and 831,151 is: 1,782,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,548 : 831,151 = 831,151 : x
  2. Step 2: Convert to fraction form
    387,548/831,151 = 831,151/x
  3. Step 3: Cross multiply
    387,548x = 831,151 × 831,151
  4. Step 4: Simplify right side
    387,548x = 690,811,984,801
  5. Step 5: Solve for x
    x = 690,811,984,801/387,548
  6. Step 6: Final answer
    x = 1,782,519.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.