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Finding the Third Proportional to 424,845 and 869,292

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Solution

The third proportional to 424,845 and 869,292 is: 1,778,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,845 : 869,292 = 869,292 : x
  2. Step 2: Convert to fraction form
    424,845/869,292 = 869,292/x
  3. Step 3: Cross multiply
    424,845x = 869,292 × 869,292
  4. Step 4: Simplify right side
    424,845x = 755,668,581,264
  5. Step 5: Solve for x
    x = 755,668,581,264/424,845
  6. Step 6: Final answer
    x = 1,778,692.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.