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Finding the Third Proportional to 78,781.36 and 113,251.29

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Solution

The third proportional to 78,781.36 and 113,251.29 is: 162,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,781.36 : 113,251.29 = 113,251.29 : x
  2. Step 2: Convert to fraction form
    78,781.36/113,251.29 = 113,251.29/x
  3. Step 3: Cross multiply
    78,781.36x = 113,251.29 × 113,251.29
  4. Step 4: Simplify right side
    78,781.36x = 12,825,854,474.32
  5. Step 5: Solve for x
    x = 12,825,854,474.32/78,781.36
  6. Step 6: Final answer
    x = 162,803.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.