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Finding the Third Proportional to 123,309.84 and 256,311.84

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Solution

The third proportional to 123,309.84 and 256,311.84 is: 532,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,309.84 : 256,311.84 = 256,311.84 : x
  2. Step 2: Convert to fraction form
    123,309.84/256,311.84 = 256,311.84/x
  3. Step 3: Cross multiply
    123,309.84x = 256,311.84 × 256,311.84
  4. Step 4: Simplify right side
    123,309.84x = 65,695,761,246.52
  5. Step 5: Solve for x
    x = 65,695,761,246.52/123,309.84
  6. Step 6: Final answer
    x = 532,769.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.