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Finding the Third Proportional to 85,731.75 and 115,647.75

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Solution

The third proportional to 85,731.75 and 115,647.75 is: 156,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,731.75 : 115,647.75 = 115,647.75 : x
  2. Step 2: Convert to fraction form
    85,731.75/115,647.75 = 115,647.75/x
  3. Step 3: Cross multiply
    85,731.75x = 115,647.75 × 115,647.75
  4. Step 4: Simplify right side
    85,731.75x = 13,374,402,080.06
  5. Step 5: Solve for x
    x = 13,374,402,080.06/85,731.75
  6. Step 6: Final answer
    x = 156,002.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.