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Finding the Third Proportional to 218,950.50 and 329,992.50

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Solution

The third proportional to 218,950.50 and 329,992.50 is: 497,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,950.50 : 329,992.50 = 329,992.50 : x
  2. Step 2: Convert to fraction form
    218,950.50/329,992.50 = 329,992.50/x
  3. Step 3: Cross multiply
    218,950.50x = 329,992.50 × 329,992.50
  4. Step 4: Simplify right side
    218,950.50x = 108,895,050,056.25
  5. Step 5: Solve for x
    x = 108,895,050,056.25/218,950.50
  6. Step 6: Final answer
    x = 497,350.09

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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.