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Finding the Third Proportional to 383,460 and 834,257.25

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Solution

The third proportional to 383,460 and 834,257.25 is: 1,815,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,460 : 834,257.25 = 834,257.25 : x
  2. Step 2: Convert to fraction form
    383,460/834,257.25 = 834,257.25/x
  3. Step 3: Cross multiply
    383,460x = 834,257.25 × 834,257.25
  4. Step 4: Simplify right side
    383,460x = 695,985,159,177.56
  5. Step 5: Solve for x
    x = 695,985,159,177.56/383,460
  6. Step 6: Final answer
    x = 1,815,013.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.