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Finding the Third Proportional to 140,089.50 and 217,515.38

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Solution

The third proportional to 140,089.50 and 217,515.38 is: 337,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,089.50 : 217,515.38 = 217,515.38 : x
  2. Step 2: Convert to fraction form
    140,089.50/217,515.38 = 217,515.38/x
  3. Step 3: Cross multiply
    140,089.50x = 217,515.38 × 217,515.38
  4. Step 4: Simplify right side
    140,089.50x = 47,312,938,361.39
  5. Step 5: Solve for x
    x = 47,312,938,361.39/140,089.50
  6. Step 6: Final answer
    x = 337,733.65

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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.