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Finding the Third Proportional to 604.97 and 915.05

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Solution

The third proportional to 604.97 and 915.05 is: 1,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 915.05 = 915.05 : x
  2. Step 2: Convert to fraction form
    604.97/915.05 = 915.05/x
  3. Step 3: Cross multiply
    604.97x = 915.05 × 915.05
  4. Step 4: Simplify right side
    604.97x = 837,310.78
  5. Step 5: Solve for x
    x = 837,310.78/604.97
  6. Step 6: Final answer
    x = 1,384.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.