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Finding the Third Proportional to 688,435 and 1,491,241

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Solution

The third proportional to 688,435 and 1,491,241 is: 3,230,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,435 : 1,491,241 = 1,491,241 : x
  2. Step 2: Convert to fraction form
    688,435/1,491,241 = 1,491,241/x
  3. Step 3: Cross multiply
    688,435x = 1,491,241 × 1,491,241
  4. Step 4: Simplify right side
    688,435x = 2,223,799,720,081
  5. Step 5: Solve for x
    x = 2,223,799,720,081/688,435
  6. Step 6: Final answer
    x = 3,230,224.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.