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Finding the Third Proportional to 680,910.75 and 954,276.75

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Solution

The third proportional to 680,910.75 and 954,276.75 is: 1,337,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,910.75 : 954,276.75 = 954,276.75 : x
  2. Step 2: Convert to fraction form
    680,910.75/954,276.75 = 954,276.75/x
  3. Step 3: Cross multiply
    680,910.75x = 954,276.75 × 954,276.75
  4. Step 4: Simplify right side
    680,910.75x = 910,644,115,590.56
  5. Step 5: Solve for x
    x = 910,644,115,590.56/680,910.75
  6. Step 6: Final answer
    x = 1,337,391.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.