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Finding the Third Proportional to 85,694 and 121,797

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Solution

The third proportional to 85,694 and 121,797 is: 173,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,694 : 121,797 = 121,797 : x
  2. Step 2: Convert to fraction form
    85,694/121,797 = 121,797/x
  3. Step 3: Cross multiply
    85,694x = 121,797 × 121,797
  4. Step 4: Simplify right side
    85,694x = 14,834,509,209
  5. Step 5: Solve for x
    x = 14,834,509,209/85,694
  6. Step 6: Final answer
    x = 173,110.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.