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Finding the Third Proportional to 680,542 and 1,491,330

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Solution

The third proportional to 680,542 and 1,491,330 is: 3,268,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,542 : 1,491,330 = 1,491,330 : x
  2. Step 2: Convert to fraction form
    680,542/1,491,330 = 1,491,330/x
  3. Step 3: Cross multiply
    680,542x = 1,491,330 × 1,491,330
  4. Step 4: Simplify right side
    680,542x = 2,224,065,168,900
  5. Step 5: Solve for x
    x = 2,224,065,168,900/680,542
  6. Step 6: Final answer
    x = 3,268,079.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.