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Finding the Third Proportional to 688,569 and 1,491,483

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Solution

The third proportional to 688,569 and 1,491,483 is: 3,230,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,569 : 1,491,483 = 1,491,483 : x
  2. Step 2: Convert to fraction form
    688,569/1,491,483 = 1,491,483/x
  3. Step 3: Cross multiply
    688,569x = 1,491,483 × 1,491,483
  4. Step 4: Simplify right side
    688,569x = 2,224,521,539,289
  5. Step 5: Solve for x
    x = 2,224,521,539,289/688,569
  6. Step 6: Final answer
    x = 3,230,644.34

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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.