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Finding the Third Proportional to 869.81 and 1,348.92

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Solution

The third proportional to 869.81 and 1,348.92 is: 2,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.81 : 1,348.92 = 1,348.92 : x
  2. Step 2: Convert to fraction form
    869.81/1,348.92 = 1,348.92/x
  3. Step 3: Cross multiply
    869.81x = 1,348.92 × 1,348.92
  4. Step 4: Simplify right side
    869.81x = 1,819,590.22
  5. Step 5: Solve for x
    x = 1,819,590.22/869.81
  6. Step 6: Final answer
    x = 2,091.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.