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Finding the Third Proportional to 912,874.50 and 1,420,981.88

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Solution

The third proportional to 912,874.50 and 1,420,981.88 is: 2,211,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,874.50 : 1,420,981.88 = 1,420,981.88 : x
  2. Step 2: Convert to fraction form
    912,874.50/1,420,981.88 = 1,420,981.88/x
  3. Step 3: Cross multiply
    912,874.50x = 1,420,981.88 × 1,420,981.88
  4. Step 4: Simplify right side
    912,874.50x = 2,019,189,489,078.52
  5. Step 5: Solve for x
    x = 2,019,189,489,078.52/912,874.50
  6. Step 6: Final answer
    x = 2,211,902.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.