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Finding the Third Proportional to 985.29 and 1,386.81

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Solution

The third proportional to 985.29 and 1,386.81 is: 1,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.29 : 1,386.81 = 1,386.81 : x
  2. Step 2: Convert to fraction form
    985.29/1,386.81 = 1,386.81/x
  3. Step 3: Cross multiply
    985.29x = 1,386.81 × 1,386.81
  4. Step 4: Simplify right side
    985.29x = 1,923,238.08
  5. Step 5: Solve for x
    x = 1,923,238.08/985.29
  6. Step 6: Final answer
    x = 1,951.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.