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Finding the Third Proportional to 115,663 and 267,739.50

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Solution

The third proportional to 115,663 and 267,739.50 is: 619,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,663 : 267,739.50 = 267,739.50 : x
  2. Step 2: Convert to fraction form
    115,663/267,739.50 = 267,739.50/x
  3. Step 3: Cross multiply
    115,663x = 267,739.50 × 267,739.50
  4. Step 4: Simplify right side
    115,663x = 71,684,439,860.25
  5. Step 5: Solve for x
    x = 71,684,439,860.25/115,663
  6. Step 6: Final answer
    x = 619,769.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.