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Finding the Third Proportional to 7,801.31 and 9,218.81

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Solution

The third proportional to 7,801.31 and 9,218.81 is: 10,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.31 : 9,218.81 = 9,218.81 : x
  2. Step 2: Convert to fraction form
    7,801.31/9,218.81 = 9,218.81/x
  3. Step 3: Cross multiply
    7,801.31x = 9,218.81 × 9,218.81
  4. Step 4: Simplify right side
    7,801.31x = 84,986,503.91
  5. Step 5: Solve for x
    x = 84,986,503.91/7,801.31
  6. Step 6: Final answer
    x = 10,893.87

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.