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Finding the Third Proportional to 100,578.38 and 140,950.13

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Solution

The third proportional to 100,578.38 and 140,950.13 is: 197,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.38 : 140,950.13 = 140,950.13 : x
  2. Step 2: Convert to fraction form
    100,578.38/140,950.13 = 140,950.13/x
  3. Step 3: Cross multiply
    100,578.38x = 140,950.13 × 140,950.13
  4. Step 4: Simplify right side
    100,578.38x = 19,866,937,737.52
  5. Step 5: Solve for x
    x = 19,866,937,737.52/100,578.38
  6. Step 6: Final answer
    x = 197,526.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.