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Finding the Third Proportional to 787.13 and 1,151.44

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Solution

The third proportional to 787.13 and 1,151.44 is: 1,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.13 : 1,151.44 = 1,151.44 : x
  2. Step 2: Convert to fraction form
    787.13/1,151.44 = 1,151.44/x
  3. Step 3: Cross multiply
    787.13x = 1,151.44 × 1,151.44
  4. Step 4: Simplify right side
    787.13x = 1,325,808.32
  5. Step 5: Solve for x
    x = 1,325,808.32/787.13
  6. Step 6: Final answer
    x = 1,684.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.