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Finding the Third Proportional to 418.01 and 915.82

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Solution

The third proportional to 418.01 and 915.82 is: 2,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.01 : 915.82 = 915.82 : x
  2. Step 2: Convert to fraction form
    418.01/915.82 = 915.82/x
  3. Step 3: Cross multiply
    418.01x = 915.82 × 915.82
  4. Step 4: Simplify right side
    418.01x = 838,726.84
  5. Step 5: Solve for x
    x = 838,726.84/418.01
  6. Step 6: Final answer
    x = 2,006.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.