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Finding the Third Proportional to 89,613 and 121,776.75

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Solution

The third proportional to 89,613 and 121,776.75 is: 165,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,613 : 121,776.75 = 121,776.75 : x
  2. Step 2: Convert to fraction form
    89,613/121,776.75 = 121,776.75/x
  3. Step 3: Cross multiply
    89,613x = 121,776.75 × 121,776.75
  4. Step 4: Simplify right side
    89,613x = 14,829,576,840.56
  5. Step 5: Solve for x
    x = 14,829,576,840.56/89,613
  6. Step 6: Final answer
    x = 165,484.66

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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.