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Finding the Third Proportional to 937.83 and 1,356.89

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Solution

The third proportional to 937.83 and 1,356.89 is: 1,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.83 : 1,356.89 = 1,356.89 : x
  2. Step 2: Convert to fraction form
    937.83/1,356.89 = 1,356.89/x
  3. Step 3: Cross multiply
    937.83x = 1,356.89 × 1,356.89
  4. Step 4: Simplify right side
    937.83x = 1,841,152.17
  5. Step 5: Solve for x
    x = 1,841,152.17/937.83
  6. Step 6: Final answer
    x = 1,963.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.