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Finding the Third Proportional to 356,874 and 521,907

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Solution

The third proportional to 356,874 and 521,907 is: 763,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,874 : 521,907 = 521,907 : x
  2. Step 2: Convert to fraction form
    356,874/521,907 = 521,907/x
  3. Step 3: Cross multiply
    356,874x = 521,907 × 521,907
  4. Step 4: Simplify right side
    356,874x = 272,386,916,649
  5. Step 5: Solve for x
    x = 272,386,916,649/356,874
  6. Step 6: Final answer
    x = 763,257.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.