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Finding the Third Proportional to 102,139.50 and 218,175

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Solution

The third proportional to 102,139.50 and 218,175 is: 466,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139.50 : 218,175 = 218,175 : x
  2. Step 2: Convert to fraction form
    102,139.50/218,175 = 218,175/x
  3. Step 3: Cross multiply
    102,139.50x = 218,175 × 218,175
  4. Step 4: Simplify right side
    102,139.50x = 47,600,330,625
  5. Step 5: Solve for x
    x = 47,600,330,625/102,139.50
  6. Step 6: Final answer
    x = 466,032.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.