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Finding the Third Proportional to 783.42 and 937.20

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Solution

The third proportional to 783.42 and 937.20 is: 1,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 937.20 = 937.20 : x
  2. Step 2: Convert to fraction form
    783.42/937.20 = 937.20/x
  3. Step 3: Cross multiply
    783.42x = 937.20 × 937.20
  4. Step 4: Simplify right side
    783.42x = 878,335.05
  5. Step 5: Solve for x
    x = 878,335.05/783.42
  6. Step 6: Final answer
    x = 1,121.15

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.