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Finding the Third Proportional to 8,157 and 9,291

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Solution

The third proportional to 8,157 and 9,291 is: 10,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157 : 9,291 = 9,291 : x
  2. Step 2: Convert to fraction form
    8,157/9,291 = 9,291/x
  3. Step 3: Cross multiply
    8,157x = 9,291 × 9,291
  4. Step 4: Simplify right side
    8,157x = 86,322,681
  5. Step 5: Solve for x
    x = 86,322,681/8,157
  6. Step 6: Final answer
    x = 10,582.65

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.