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Finding the Third Proportional to 75,826.13 and 100,615.50

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Solution

The third proportional to 75,826.13 and 100,615.50 is: 133,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,826.13 : 100,615.50 = 100,615.50 : x
  2. Step 2: Convert to fraction form
    75,826.13/100,615.50 = 100,615.50/x
  3. Step 3: Cross multiply
    75,826.13x = 100,615.50 × 100,615.50
  4. Step 4: Simplify right side
    75,826.13x = 10,123,478,840.25
  5. Step 5: Solve for x
    x = 10,123,478,840.25/75,826.13
  6. Step 6: Final answer
    x = 133,509.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.