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Finding the Third Proportional to 820,518 and 1,241,711

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Solution

The third proportional to 820,518 and 1,241,711 is: 1,879,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,518 : 1,241,711 = 1,241,711 : x
  2. Step 2: Convert to fraction form
    820,518/1,241,711 = 1,241,711/x
  3. Step 3: Cross multiply
    820,518x = 1,241,711 × 1,241,711
  4. Step 4: Simplify right side
    820,518x = 1,541,846,207,521
  5. Step 5: Solve for x
    x = 1,541,846,207,521/820,518
  6. Step 6: Final answer
    x = 1,879,113.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.