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Finding the Third Proportional to 35,782 and 77,716

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Solution

The third proportional to 35,782 and 77,716 is: 168,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782 : 77,716 = 77,716 : x
  2. Step 2: Convert to fraction form
    35,782/77,716 = 77,716/x
  3. Step 3: Cross multiply
    35,782x = 77,716 × 77,716
  4. Step 4: Simplify right side
    35,782x = 6,039,776,656
  5. Step 5: Solve for x
    x = 6,039,776,656/35,782
  6. Step 6: Final answer
    x = 168,793.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.