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Finding the Third Proportional to 89,610 and 121,770

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Solution

The third proportional to 89,610 and 121,770 is: 165,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,610 : 121,770 = 121,770 : x
  2. Step 2: Convert to fraction form
    89,610/121,770 = 121,770/x
  3. Step 3: Cross multiply
    89,610x = 121,770 × 121,770
  4. Step 4: Simplify right side
    89,610x = 14,827,932,900
  5. Step 5: Solve for x
    x = 14,827,932,900/89,610
  6. Step 6: Final answer
    x = 165,471.85

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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.