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Finding the Third Proportional to 908.81 and 1,397.81

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Solution

The third proportional to 908.81 and 1,397.81 is: 2,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.81 : 1,397.81 = 1,397.81 : x
  2. Step 2: Convert to fraction form
    908.81/1,397.81 = 1,397.81/x
  3. Step 3: Cross multiply
    908.81x = 1,397.81 × 1,397.81
  4. Step 4: Simplify right side
    908.81x = 1,953,879.79
  5. Step 5: Solve for x
    x = 1,953,879.79/908.81
  6. Step 6: Final answer
    x = 2,149.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.