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Finding the Third Proportional to 490.88 and 915.13

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Solution

The third proportional to 490.88 and 915.13 is: 1,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.88 : 915.13 = 915.13 : x
  2. Step 2: Convert to fraction form
    490.88/915.13 = 915.13/x
  3. Step 3: Cross multiply
    490.88x = 915.13 × 915.13
  4. Step 4: Simplify right side
    490.88x = 837,453.77
  5. Step 5: Solve for x
    x = 837,453.77/490.88
  6. Step 6: Final answer
    x = 1,706.04

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.