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Finding the Third Proportional to 651.16 and 913.78

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Solution

The third proportional to 651.16 and 913.78 is: 1,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 913.78 = 913.78 : x
  2. Step 2: Convert to fraction form
    651.16/913.78 = 913.78/x
  3. Step 3: Cross multiply
    651.16x = 913.78 × 913.78
  4. Step 4: Simplify right side
    651.16x = 834,996.17
  5. Step 5: Solve for x
    x = 834,996.17/651.16
  6. Step 6: Final answer
    x = 1,282.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.