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Finding the Third Proportional to 230,940 and 345,487.50

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Solution

The third proportional to 230,940 and 345,487.50 is: 516,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,940 : 345,487.50 = 345,487.50 : x
  2. Step 2: Convert to fraction form
    230,940/345,487.50 = 345,487.50/x
  3. Step 3: Cross multiply
    230,940x = 345,487.50 × 345,487.50
  4. Step 4: Simplify right side
    230,940x = 119,361,612,656.25
  5. Step 5: Solve for x
    x = 119,361,612,656.25/230,940
  6. Step 6: Final answer
    x = 516,851.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.