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Finding the Third Proportional to 61,128 and 129,615

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Solution

The third proportional to 61,128 and 129,615 is: 274,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,128 : 129,615 = 129,615 : x
  2. Step 2: Convert to fraction form
    61,128/129,615 = 129,615/x
  3. Step 3: Cross multiply
    61,128x = 129,615 × 129,615
  4. Step 4: Simplify right side
    61,128x = 16,800,048,225
  5. Step 5: Solve for x
    x = 16,800,048,225/61,128
  6. Step 6: Final answer
    x = 274,833.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.