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Finding the Third Proportional to 407,920 and 883,624

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Solution

The third proportional to 407,920 and 883,624 is: 1,914,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,920 : 883,624 = 883,624 : x
  2. Step 2: Convert to fraction form
    407,920/883,624 = 883,624/x
  3. Step 3: Cross multiply
    407,920x = 883,624 × 883,624
  4. Step 4: Simplify right side
    407,920x = 780,791,373,376
  5. Step 5: Solve for x
    x = 780,791,373,376/407,920
  6. Step 6: Final answer
    x = 1,914,079.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.