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Finding the Third Proportional to 218,272.50 and 328,221

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Solution

The third proportional to 218,272.50 and 328,221 is: 493,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,272.50 : 328,221 = 328,221 : x
  2. Step 2: Convert to fraction form
    218,272.50/328,221 = 328,221/x
  3. Step 3: Cross multiply
    218,272.50x = 328,221 × 328,221
  4. Step 4: Simplify right side
    218,272.50x = 107,729,024,841
  5. Step 5: Solve for x
    x = 107,729,024,841/218,272.50
  6. Step 6: Final answer
    x = 493,552.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.