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Finding the Third Proportional to 7,778 and 9,979

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Solution

The third proportional to 7,778 and 9,979 is: 12,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 9,979 = 9,979 : x
  2. Step 2: Convert to fraction form
    7,778/9,979 = 9,979/x
  3. Step 3: Cross multiply
    7,778x = 9,979 × 9,979
  4. Step 4: Simplify right side
    7,778x = 99,580,441
  5. Step 5: Solve for x
    x = 99,580,441/7,778
  6. Step 6: Final answer
    x = 12,802.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.