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Finding the Third Proportional to 943.78 and 1,387.88

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Solution

The third proportional to 943.78 and 1,387.88 is: 2,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.78 : 1,387.88 = 1,387.88 : x
  2. Step 2: Convert to fraction form
    943.78/1,387.88 = 1,387.88/x
  3. Step 3: Cross multiply
    943.78x = 1,387.88 × 1,387.88
  4. Step 4: Simplify right side
    943.78x = 1,926,197.02
  5. Step 5: Solve for x
    x = 1,926,197.02/943.78
  6. Step 6: Final answer
    x = 2,040.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.