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Finding the Third Proportional to 35,759 and 77,138

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Solution

The third proportional to 35,759 and 77,138 is: 166,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759 : 77,138 = 77,138 : x
  2. Step 2: Convert to fraction form
    35,759/77,138 = 77,138/x
  3. Step 3: Cross multiply
    35,759x = 77,138 × 77,138
  4. Step 4: Simplify right side
    35,759x = 5,950,271,044
  5. Step 5: Solve for x
    x = 5,950,271,044/35,759
  6. Step 6: Final answer
    x = 166,399.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.