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Finding the Third Proportional to 310,912.88 and 659,191.50

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Solution

The third proportional to 310,912.88 and 659,191.50 is: 1,397,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.88 : 659,191.50 = 659,191.50 : x
  2. Step 2: Convert to fraction form
    310,912.88/659,191.50 = 659,191.50/x
  3. Step 3: Cross multiply
    310,912.88x = 659,191.50 × 659,191.50
  4. Step 4: Simplify right side
    310,912.88x = 434,533,433,672.25
  5. Step 5: Solve for x
    x = 434,533,433,672.25/310,912.88
  6. Step 6: Final answer
    x = 1,397,605.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.