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Finding the Third Proportional to 387,815 and 542,436

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Solution

The third proportional to 387,815 and 542,436 is: 758,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,815 : 542,436 = 542,436 : x
  2. Step 2: Convert to fraction form
    387,815/542,436 = 542,436/x
  3. Step 3: Cross multiply
    387,815x = 542,436 × 542,436
  4. Step 4: Simplify right side
    387,815x = 294,236,814,096
  5. Step 5: Solve for x
    x = 294,236,814,096/387,815
  6. Step 6: Final answer
    x = 758,704.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.