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Finding the Third Proportional to 688,391 and 1,491,192

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Solution

The third proportional to 688,391 and 1,491,192 is: 3,230,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,391 : 1,491,192 = 1,491,192 : x
  2. Step 2: Convert to fraction form
    688,391/1,491,192 = 1,491,192/x
  3. Step 3: Cross multiply
    688,391x = 1,491,192 × 1,491,192
  4. Step 4: Simplify right side
    688,391x = 2,223,653,580,864
  5. Step 5: Solve for x
    x = 2,223,653,580,864/688,391
  6. Step 6: Final answer
    x = 3,230,218.84

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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.