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Finding the Third Proportional to 7,778 and 12,371

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Solution

The third proportional to 7,778 and 12,371 is: 19,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 12,371 = 12,371 : x
  2. Step 2: Convert to fraction form
    7,778/12,371 = 12,371/x
  3. Step 3: Cross multiply
    7,778x = 12,371 × 12,371
  4. Step 4: Simplify right side
    7,778x = 153,041,641
  5. Step 5: Solve for x
    x = 153,041,641/7,778
  6. Step 6: Final answer
    x = 19,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.