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Finding the Third Proportional to 61,530 and 87,985

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Solution

The third proportional to 61,530 and 87,985 is: 125,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530 : 87,985 = 87,985 : x
  2. Step 2: Convert to fraction form
    61,530/87,985 = 87,985/x
  3. Step 3: Cross multiply
    61,530x = 87,985 × 87,985
  4. Step 4: Simplify right side
    61,530x = 7,741,360,225
  5. Step 5: Solve for x
    x = 7,741,360,225/61,530
  6. Step 6: Final answer
    x = 125,814.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.