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Finding the Third Proportional to 89,617 and 121,782

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Solution

The third proportional to 89,617 and 121,782 is: 165,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,617 : 121,782 = 121,782 : x
  2. Step 2: Convert to fraction form
    89,617/121,782 = 121,782/x
  3. Step 3: Cross multiply
    89,617x = 121,782 × 121,782
  4. Step 4: Simplify right side
    89,617x = 14,830,855,524
  5. Step 5: Solve for x
    x = 14,830,855,524/89,617
  6. Step 6: Final answer
    x = 165,491.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.