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Finding the Third Proportional to 218,272 and 336,416

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Solution

The third proportional to 218,272 and 336,416 is: 518,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,272 : 336,416 = 336,416 : x
  2. Step 2: Convert to fraction form
    218,272/336,416 = 336,416/x
  3. Step 3: Cross multiply
    218,272x = 336,416 × 336,416
  4. Step 4: Simplify right side
    218,272x = 113,175,725,056
  5. Step 5: Solve for x
    x = 113,175,725,056/218,272
  6. Step 6: Final answer
    x = 518,507.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.