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Finding the Third Proportional to 7,822 and 8,920

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Solution

The third proportional to 7,822 and 8,920 is: 10,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822 : 8,920 = 8,920 : x
  2. Step 2: Convert to fraction form
    7,822/8,920 = 8,920/x
  3. Step 3: Cross multiply
    7,822x = 8,920 × 8,920
  4. Step 4: Simplify right side
    7,822x = 79,566,400
  5. Step 5: Solve for x
    x = 79,566,400/7,822
  6. Step 6: Final answer
    x = 10,172.13

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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.