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Finding the Third Proportional to 81,648 and 173,205.84

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Solution

The third proportional to 81,648 and 173,205.84 is: 367,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648 : 173,205.84 = 173,205.84 : x
  2. Step 2: Convert to fraction form
    81,648/173,205.84 = 173,205.84/x
  3. Step 3: Cross multiply
    81,648x = 173,205.84 × 173,205.84
  4. Step 4: Simplify right side
    81,648x = 30,000,264,309.15
  5. Step 5: Solve for x
    x = 30,000,264,309.15/81,648
  6. Step 6: Final answer
    x = 367,434.16

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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.