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Finding the Third Proportional to 82,560.75 and 97,505.25

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Solution

The third proportional to 82,560.75 and 97,505.25 is: 115,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,560.75 : 97,505.25 = 97,505.25 : x
  2. Step 2: Convert to fraction form
    82,560.75/97,505.25 = 97,505.25/x
  3. Step 3: Cross multiply
    82,560.75x = 97,505.25 × 97,505.25
  4. Step 4: Simplify right side
    82,560.75x = 9,507,273,777.56
  5. Step 5: Solve for x
    x = 9,507,273,777.56/82,560.75
  6. Step 6: Final answer
    x = 115,154.89

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.