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Finding the Third Proportional to 35,877 and 78,069

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Solution

The third proportional to 35,877 and 78,069 is: 169,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877 : 78,069 = 78,069 : x
  2. Step 2: Convert to fraction form
    35,877/78,069 = 78,069/x
  3. Step 3: Cross multiply
    35,877x = 78,069 × 78,069
  4. Step 4: Simplify right side
    35,877x = 6,094,768,761
  5. Step 5: Solve for x
    x = 6,094,768,761/35,877
  6. Step 6: Final answer
    x = 169,879.55

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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.