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Finding the Third Proportional to 915.17 and 1,974.49

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Solution

The third proportional to 915.17 and 1,974.49 is: 4,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.17 : 1,974.49 = 1,974.49 : x
  2. Step 2: Convert to fraction form
    915.17/1,974.49 = 1,974.49/x
  3. Step 3: Cross multiply
    915.17x = 1,974.49 × 1,974.49
  4. Step 4: Simplify right side
    915.17x = 3,898,625.18
  5. Step 5: Solve for x
    x = 3,898,625.18/915.17
  6. Step 6: Final answer
    x = 4,260.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.