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Finding the Third Proportional to 218,101.50 and 328,244.25

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Solution

The third proportional to 218,101.50 and 328,244.25 is: 494,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,101.50 : 328,244.25 = 328,244.25 : x
  2. Step 2: Convert to fraction form
    218,101.50/328,244.25 = 328,244.25/x
  3. Step 3: Cross multiply
    218,101.50x = 328,244.25 × 328,244.25
  4. Step 4: Simplify right side
    218,101.50x = 107,744,287,658.06
  5. Step 5: Solve for x
    x = 107,744,287,658.06/218,101.50
  6. Step 6: Final answer
    x = 494,009.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.