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Finding the Third Proportional to 252,231.75 and 420,385.50

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Solution

The third proportional to 252,231.75 and 420,385.50 is: 700,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,231.75 : 420,385.50 = 420,385.50 : x
  2. Step 2: Convert to fraction form
    252,231.75/420,385.50 = 420,385.50/x
  3. Step 3: Cross multiply
    252,231.75x = 420,385.50 × 420,385.50
  4. Step 4: Simplify right side
    252,231.75x = 176,723,968,610.25
  5. Step 5: Solve for x
    x = 176,723,968,610.25/252,231.75
  6. Step 6: Final answer
    x = 700,641.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.