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Finding the Third Proportional to 936.42 and 1,348.88

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Solution

The third proportional to 936.42 and 1,348.88 is: 1,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.42 : 1,348.88 = 1,348.88 : x
  2. Step 2: Convert to fraction form
    936.42/1,348.88 = 1,348.88/x
  3. Step 3: Cross multiply
    936.42x = 1,348.88 × 1,348.88
  4. Step 4: Simplify right side
    936.42x = 1,819,463.77
  5. Step 5: Solve for x
    x = 1,819,463.77/936.42
  6. Step 6: Final answer
    x = 1,943.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.