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Finding the Third Proportional to 55,315 and 85,794

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Solution

The third proportional to 55,315 and 85,794 is: 133,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,315 : 85,794 = 85,794 : x
  2. Step 2: Convert to fraction form
    55,315/85,794 = 85,794/x
  3. Step 3: Cross multiply
    55,315x = 85,794 × 85,794
  4. Step 4: Simplify right side
    55,315x = 7,360,610,436
  5. Step 5: Solve for x
    x = 7,360,610,436/55,315
  6. Step 6: Final answer
    x = 133,067.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.