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Finding the Third Proportional to 983.81 and 1,377.21

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Solution

The third proportional to 983.81 and 1,377.21 is: 1,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.81 : 1,377.21 = 1,377.21 : x
  2. Step 2: Convert to fraction form
    983.81/1,377.21 = 1,377.21/x
  3. Step 3: Cross multiply
    983.81x = 1,377.21 × 1,377.21
  4. Step 4: Simplify right side
    983.81x = 1,896,709.97
  5. Step 5: Solve for x
    x = 1,896,709.97/983.81
  6. Step 6: Final answer
    x = 1,927.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.