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Finding the Third Proportional to 678,690 and 1,491,871.50

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Solution

The third proportional to 678,690 and 1,491,871.50 is: 3,279,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,690 : 1,491,871.50 = 1,491,871.50 : x
  2. Step 2: Convert to fraction form
    678,690/1,491,871.50 = 1,491,871.50/x
  3. Step 3: Cross multiply
    678,690x = 1,491,871.50 × 1,491,871.50
  4. Step 4: Simplify right side
    678,690x = 2,225,680,572,512.25
  5. Step 5: Solve for x
    x = 2,225,680,572,512.25/678,690
  6. Step 6: Final answer
    x = 3,279,377.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.