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Finding the Third Proportional to 81,465.75 and 109,623.38

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Solution

The third proportional to 81,465.75 and 109,623.38 is: 147,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.75 : 109,623.38 = 109,623.38 : x
  2. Step 2: Convert to fraction form
    81,465.75/109,623.38 = 109,623.38/x
  3. Step 3: Cross multiply
    81,465.75x = 109,623.38 × 109,623.38
  4. Step 4: Simplify right side
    81,465.75x = 12,017,284,346.39
  5. Step 5: Solve for x
    x = 12,017,284,346.39/81,465.75
  6. Step 6: Final answer
    x = 147,513.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.