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Finding the Third Proportional to 310,922.30 and 659,209.64

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Solution

The third proportional to 310,922.30 and 659,209.64 is: 1,397,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,922.30 : 659,209.64 = 659,209.64 : x
  2. Step 2: Convert to fraction form
    310,922.30/659,209.64 = 659,209.64/x
  3. Step 3: Cross multiply
    310,922.30x = 659,209.64 × 659,209.64
  4. Step 4: Simplify right side
    310,922.30x = 434,557,350,292.94
  5. Step 5: Solve for x
    x = 434,557,350,292.94/310,922.30
  6. Step 6: Final answer
    x = 1,397,639.71

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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.