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Finding the Third Proportional to 218,134 and 461,418

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Solution

The third proportional to 218,134 and 461,418 is: 976,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,134 : 461,418 = 461,418 : x
  2. Step 2: Convert to fraction form
    218,134/461,418 = 461,418/x
  3. Step 3: Cross multiply
    218,134x = 461,418 × 461,418
  4. Step 4: Simplify right side
    218,134x = 212,906,570,724
  5. Step 5: Solve for x
    x = 212,906,570,724/218,134
  6. Step 6: Final answer
    x = 976,035.70

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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.