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Finding the Third Proportional to 85,236.75 and 130,449.38

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Solution

The third proportional to 85,236.75 and 130,449.38 is: 199,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,236.75 : 130,449.38 = 130,449.38 : x
  2. Step 2: Convert to fraction form
    85,236.75/130,449.38 = 130,449.38/x
  3. Step 3: Cross multiply
    85,236.75x = 130,449.38 × 130,449.38
  4. Step 4: Simplify right side
    85,236.75x = 17,017,039,437.89
  5. Step 5: Solve for x
    x = 17,017,039,437.89/85,236.75
  6. Step 6: Final answer
    x = 199,644.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.