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Finding the Third Proportional to 35,868 and 78,288

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Solution

The third proportional to 35,868 and 78,288 is: 170,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,868 : 78,288 = 78,288 : x
  2. Step 2: Convert to fraction form
    35,868/78,288 = 78,288/x
  3. Step 3: Cross multiply
    35,868x = 78,288 × 78,288
  4. Step 4: Simplify right side
    35,868x = 6,129,010,944
  5. Step 5: Solve for x
    x = 6,129,010,944/35,868
  6. Step 6: Final answer
    x = 170,876.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.