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Finding the Third Proportional to 387,400 and 843,416

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Solution

The third proportional to 387,400 and 843,416 is: 1,836,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,400 : 843,416 = 843,416 : x
  2. Step 2: Convert to fraction form
    387,400/843,416 = 843,416/x
  3. Step 3: Cross multiply
    387,400x = 843,416 × 843,416
  4. Step 4: Simplify right side
    387,400x = 711,350,549,056
  5. Step 5: Solve for x
    x = 711,350,549,056/387,400
  6. Step 6: Final answer
    x = 1,836,217.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.