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Finding the Third Proportional to 218,899 and 464,157

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Solution

The third proportional to 218,899 and 464,157 is: 984,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,899 : 464,157 = 464,157 : x
  2. Step 2: Convert to fraction form
    218,899/464,157 = 464,157/x
  3. Step 3: Cross multiply
    218,899x = 464,157 × 464,157
  4. Step 4: Simplify right side
    218,899x = 215,441,720,649
  5. Step 5: Solve for x
    x = 215,441,720,649/218,899
  6. Step 6: Final answer
    x = 984,206.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.