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Finding the Third Proportional to 85,839.75 and 130,516.31

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Solution

The third proportional to 85,839.75 and 130,516.31 is: 198,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,839.75 : 130,516.31 = 130,516.31 : x
  2. Step 2: Convert to fraction form
    85,839.75/130,516.31 = 130,516.31/x
  3. Step 3: Cross multiply
    85,839.75x = 130,516.31 × 130,516.31
  4. Step 4: Simplify right side
    85,839.75x = 17,034,507,828.60
  5. Step 5: Solve for x
    x = 17,034,507,828.60/85,839.75
  6. Step 6: Final answer
    x = 198,445.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.