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Finding the Third Proportional to 140,758.50 and 218,280

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Solution

The third proportional to 140,758.50 and 218,280 is: 338,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,758.50 : 218,280 = 218,280 : x
  2. Step 2: Convert to fraction form
    140,758.50/218,280 = 218,280/x
  3. Step 3: Cross multiply
    140,758.50x = 218,280 × 218,280
  4. Step 4: Simplify right side
    140,758.50x = 47,646,158,400
  5. Step 5: Solve for x
    x = 47,646,158,400/140,758.50
  6. Step 6: Final answer
    x = 338,495.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.