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Finding the Third Proportional to 7,310 and 8,822

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Solution

The third proportional to 7,310 and 8,822 is: 10,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310 : 8,822 = 8,822 : x
  2. Step 2: Convert to fraction form
    7,310/8,822 = 8,822/x
  3. Step 3: Cross multiply
    7,310x = 8,822 × 8,822
  4. Step 4: Simplify right side
    7,310x = 77,827,684
  5. Step 5: Solve for x
    x = 77,827,684/7,310
  6. Step 6: Final answer
    x = 10,646.74

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.