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Finding the Third Proportional to 285,554 and 676,493

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Solution

The third proportional to 285,554 and 676,493 is: 1,602,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,554 : 676,493 = 676,493 : x
  2. Step 2: Convert to fraction form
    285,554/676,493 = 676,493/x
  3. Step 3: Cross multiply
    285,554x = 676,493 × 676,493
  4. Step 4: Simplify right side
    285,554x = 457,642,779,049
  5. Step 5: Solve for x
    x = 457,642,779,049/285,554
  6. Step 6: Final answer
    x = 1,602,648.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.