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Finding the Third Proportional to 7,854 and 20,121

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Solution

The third proportional to 7,854 and 20,121 is: 51,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 20,121 = 20,121 : x
  2. Step 2: Convert to fraction form
    7,854/20,121 = 20,121/x
  3. Step 3: Cross multiply
    7,854x = 20,121 × 20,121
  4. Step 4: Simplify right side
    7,854x = 404,854,641
  5. Step 5: Solve for x
    x = 404,854,641/7,854
  6. Step 6: Final answer
    x = 51,547.57

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.