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Finding the Third Proportional to 451,569 and 699,585

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Solution

The third proportional to 451,569 and 699,585 is: 1,083,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,569 : 699,585 = 699,585 : x
  2. Step 2: Convert to fraction form
    451,569/699,585 = 699,585/x
  3. Step 3: Cross multiply
    451,569x = 699,585 × 699,585
  4. Step 4: Simplify right side
    451,569x = 489,419,172,225
  5. Step 5: Solve for x
    x = 489,419,172,225/451,569
  6. Step 6: Final answer
    x = 1,083,819.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.