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Finding the Third Proportional to 35,899 and 78,601

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Solution

The third proportional to 35,899 and 78,601 is: 172,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,899 : 78,601 = 78,601 : x
  2. Step 2: Convert to fraction form
    35,899/78,601 = 78,601/x
  3. Step 3: Cross multiply
    35,899x = 78,601 × 78,601
  4. Step 4: Simplify right side
    35,899x = 6,178,117,201
  5. Step 5: Solve for x
    x = 6,178,117,201/35,899
  6. Step 6: Final answer
    x = 172,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.