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Finding the Third Proportional to 61,023.75 and 125,020.50

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Solution

The third proportional to 61,023.75 and 125,020.50 is: 256,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,023.75 : 125,020.50 = 125,020.50 : x
  2. Step 2: Convert to fraction form
    61,023.75/125,020.50 = 125,020.50/x
  3. Step 3: Cross multiply
    61,023.75x = 125,020.50 × 125,020.50
  4. Step 4: Simplify right side
    61,023.75x = 15,630,125,420.25
  5. Step 5: Solve for x
    x = 15,630,125,420.25/61,023.75
  6. Step 6: Final answer
    x = 256,131.84

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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.