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Finding the Third Proportional to 218,091 and 328,228.50

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Solution

The third proportional to 218,091 and 328,228.50 is: 493,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,091 : 328,228.50 = 328,228.50 : x
  2. Step 2: Convert to fraction form
    218,091/328,228.50 = 328,228.50/x
  3. Step 3: Cross multiply
    218,091x = 328,228.50 × 328,228.50
  4. Step 4: Simplify right side
    218,091x = 107,733,948,212.25
  5. Step 5: Solve for x
    x = 107,733,948,212.25/218,091
  6. Step 6: Final answer
    x = 493,986.22

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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.