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Finding the Third Proportional to 100,711.50 and 141,178.50

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Solution

The third proportional to 100,711.50 and 141,178.50 is: 197,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.50 : 141,178.50 = 141,178.50 : x
  2. Step 2: Convert to fraction form
    100,711.50/141,178.50 = 141,178.50/x
  3. Step 3: Cross multiply
    100,711.50x = 141,178.50 × 141,178.50
  4. Step 4: Simplify right side
    100,711.50x = 19,931,368,862.25
  5. Step 5: Solve for x
    x = 19,931,368,862.25/100,711.50
  6. Step 6: Final answer
    x = 197,905.59

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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.