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Finding the Third Proportional to 1,289.67 and 2,717.93

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Solution

The third proportional to 1,289.67 and 2,717.93 is: 5,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.67 : 2,717.93 = 2,717.93 : x
  2. Step 2: Convert to fraction form
    1,289.67/2,717.93 = 2,717.93/x
  3. Step 3: Cross multiply
    1,289.67x = 2,717.93 × 2,717.93
  4. Step 4: Simplify right side
    1,289.67x = 7,387,141.79
  5. Step 5: Solve for x
    x = 7,387,141.79/1,289.67
  6. Step 6: Final answer
    x = 5,727.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.