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Finding the Third Proportional to 688,438 and 1,491,247

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Solution

The third proportional to 688,438 and 1,491,247 is: 3,230,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,438 : 1,491,247 = 1,491,247 : x
  2. Step 2: Convert to fraction form
    688,438/1,491,247 = 1,491,247/x
  3. Step 3: Cross multiply
    688,438x = 1,491,247 × 1,491,247
  4. Step 4: Simplify right side
    688,438x = 2,223,817,615,009
  5. Step 5: Solve for x
    x = 2,223,817,615,009/688,438
  6. Step 6: Final answer
    x = 3,230,236.59

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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.