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Finding the Third Proportional to 61,615 and 126,149.50

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Solution

The third proportional to 61,615 and 126,149.50 is: 258,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,615 : 126,149.50 = 126,149.50 : x
  2. Step 2: Convert to fraction form
    61,615/126,149.50 = 126,149.50/x
  3. Step 3: Cross multiply
    61,615x = 126,149.50 × 126,149.50
  4. Step 4: Simplify right side
    61,615x = 15,913,696,350.25
  5. Step 5: Solve for x
    x = 15,913,696,350.25/61,615
  6. Step 6: Final answer
    x = 258,276.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.