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Finding the Third Proportional to 61,077 and 87,177

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Solution

The third proportional to 61,077 and 87,177 is: 124,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,077 : 87,177 = 87,177 : x
  2. Step 2: Convert to fraction form
    61,077/87,177 = 87,177/x
  3. Step 3: Cross multiply
    61,077x = 87,177 × 87,177
  4. Step 4: Simplify right side
    61,077x = 7,599,829,329
  5. Step 5: Solve for x
    x = 7,599,829,329/61,077
  6. Step 6: Final answer
    x = 124,430.30

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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.