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Finding the Third Proportional to 425,890 and 864,294

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Solution

The third proportional to 425,890 and 864,294 is: 1,753,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,890 : 864,294 = 864,294 : x
  2. Step 2: Convert to fraction form
    425,890/864,294 = 864,294/x
  3. Step 3: Cross multiply
    425,890x = 864,294 × 864,294
  4. Step 4: Simplify right side
    425,890x = 747,004,118,436
  5. Step 5: Solve for x
    x = 747,004,118,436/425,890
  6. Step 6: Final answer
    x = 1,753,983.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.