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Finding the Third Proportional to 35,776 and 77,698

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Solution

The third proportional to 35,776 and 77,698 is: 168,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776 : 77,698 = 77,698 : x
  2. Step 2: Convert to fraction form
    35,776/77,698 = 77,698/x
  3. Step 3: Cross multiply
    35,776x = 77,698 × 77,698
  4. Step 4: Simplify right side
    35,776x = 6,036,979,204
  5. Step 5: Solve for x
    x = 6,036,979,204/35,776
  6. Step 6: Final answer
    x = 168,743.83

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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.