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Finding the Third Proportional to 647.94 and 912.88

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Solution

The third proportional to 647.94 and 912.88 is: 1,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 912.88 = 912.88 : x
  2. Step 2: Convert to fraction form
    647.94/912.88 = 912.88/x
  3. Step 3: Cross multiply
    647.94x = 912.88 × 912.88
  4. Step 4: Simplify right side
    647.94x = 833,340.77
  5. Step 5: Solve for x
    x = 833,340.77/647.94
  6. Step 6: Final answer
    x = 1,286.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.