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Finding the Third Proportional to 650,340 and 869,880

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Solution

The third proportional to 650,340 and 869,880 is: 1,163,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,340 : 869,880 = 869,880 : x
  2. Step 2: Convert to fraction form
    650,340/869,880 = 869,880/x
  3. Step 3: Cross multiply
    650,340x = 869,880 × 869,880
  4. Step 4: Simplify right side
    650,340x = 756,691,214,400
  5. Step 5: Solve for x
    x = 756,691,214,400/650,340
  6. Step 6: Final answer
    x = 1,163,531.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.