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Finding the Third Proportional to 207,616.50 and 311,425.88

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Solution

The third proportional to 207,616.50 and 311,425.88 is: 467,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,616.50 : 311,425.88 = 311,425.88 : x
  2. Step 2: Convert to fraction form
    207,616.50/311,425.88 = 311,425.88/x
  3. Step 3: Cross multiply
    207,616.50x = 311,425.88 × 311,425.88
  4. Step 4: Simplify right side
    207,616.50x = 96,986,075,619.52
  5. Step 5: Solve for x
    x = 96,986,075,619.52/207,616.50
  6. Step 6: Final answer
    x = 467,140.50

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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.