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Finding the Third Proportional to 640.88 and 916.43

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Solution

The third proportional to 640.88 and 916.43 is: 1,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.88 : 916.43 = 916.43 : x
  2. Step 2: Convert to fraction form
    640.88/916.43 = 916.43/x
  3. Step 3: Cross multiply
    640.88x = 916.43 × 916.43
  4. Step 4: Simplify right side
    640.88x = 839,843.37
  5. Step 5: Solve for x
    x = 839,843.37/640.88
  6. Step 6: Final answer
    x = 1,310.46

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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.