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Finding the Third Proportional to 781.21 and 1,187.95

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Solution

The third proportional to 781.21 and 1,187.95 is: 1,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.21 : 1,187.95 = 1,187.95 : x
  2. Step 2: Convert to fraction form
    781.21/1,187.95 = 1,187.95/x
  3. Step 3: Cross multiply
    781.21x = 1,187.95 × 1,187.95
  4. Step 4: Simplify right side
    781.21x = 1,411,218.71
  5. Step 5: Solve for x
    x = 1,411,218.71/781.21
  6. Step 6: Final answer
    x = 1,806.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.