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Finding the Third Proportional to 915.34 and 1,418.53

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Solution

The third proportional to 915.34 and 1,418.53 is: 2,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.34 : 1,418.53 = 1,418.53 : x
  2. Step 2: Convert to fraction form
    915.34/1,418.53 = 1,418.53/x
  3. Step 3: Cross multiply
    915.34x = 1,418.53 × 1,418.53
  4. Step 4: Simplify right side
    915.34x = 2,012,230.91
  5. Step 5: Solve for x
    x = 2,012,230.91/915.34
  6. Step 6: Final answer
    x = 2,198.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.