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Finding the Third Proportional to 140,389.50 and 218,199

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Solution

The third proportional to 140,389.50 and 218,199 is: 339,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,389.50 : 218,199 = 218,199 : x
  2. Step 2: Convert to fraction form
    140,389.50/218,199 = 218,199/x
  3. Step 3: Cross multiply
    140,389.50x = 218,199 × 218,199
  4. Step 4: Simplify right side
    140,389.50x = 47,610,803,601
  5. Step 5: Solve for x
    x = 47,610,803,601/140,389.50
  6. Step 6: Final answer
    x = 339,133.65

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Why These Related Problems?

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