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Finding the Third Proportional to 218,259 and 336,397.50

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Solution

The third proportional to 218,259 and 336,397.50 is: 518,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,259 : 336,397.50 = 336,397.50 : x
  2. Step 2: Convert to fraction form
    218,259/336,397.50 = 336,397.50/x
  3. Step 3: Cross multiply
    218,259x = 336,397.50 × 336,397.50
  4. Step 4: Simplify right side
    218,259x = 113,163,278,006.25
  5. Step 5: Solve for x
    x = 113,163,278,006.25/218,259
  6. Step 6: Final answer
    x = 518,481.61

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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.