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Finding the Third Proportional to 35,405 and 77,251

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Solution

The third proportional to 35,405 and 77,251 is: 168,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,405 : 77,251 = 77,251 : x
  2. Step 2: Convert to fraction form
    35,405/77,251 = 77,251/x
  3. Step 3: Cross multiply
    35,405x = 77,251 × 77,251
  4. Step 4: Simplify right side
    35,405x = 5,967,717,001
  5. Step 5: Solve for x
    x = 5,967,717,001/35,405
  6. Step 6: Final answer
    x = 168,555.77

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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.