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Finding the Third Proportional to 399,500 and 858,292

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Solution

The third proportional to 399,500 and 858,292 is: 1,843,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,500 : 858,292 = 858,292 : x
  2. Step 2: Convert to fraction form
    399,500/858,292 = 858,292/x
  3. Step 3: Cross multiply
    399,500x = 858,292 × 858,292
  4. Step 4: Simplify right side
    399,500x = 736,665,157,264
  5. Step 5: Solve for x
    x = 736,665,157,264/399,500
  6. Step 6: Final answer
    x = 1,843,967.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.