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Finding the Third Proportional to 641.03 and 916.69

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Solution

The third proportional to 641.03 and 916.69 is: 1,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.03 : 916.69 = 916.69 : x
  2. Step 2: Convert to fraction form
    641.03/916.69 = 916.69/x
  3. Step 3: Cross multiply
    641.03x = 916.69 × 916.69
  4. Step 4: Simplify right side
    641.03x = 840,315.97
  5. Step 5: Solve for x
    x = 840,315.97/641.03
  6. Step 6: Final answer
    x = 1,310.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.