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Finding the Third Proportional to 64,581.19 and 136,845

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Solution

The third proportional to 64,581.19 and 136,845 is: 289,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,581.19 : 136,845 = 136,845 : x
  2. Step 2: Convert to fraction form
    64,581.19/136,845 = 136,845/x
  3. Step 3: Cross multiply
    64,581.19x = 136,845 × 136,845
  4. Step 4: Simplify right side
    64,581.19x = 18,726,554,025
  5. Step 5: Solve for x
    x = 18,726,554,025/64,581.19
  6. Step 6: Final answer
    x = 289,969.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.