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Finding the Third Proportional to 35,814 and 77,972

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Solution

The third proportional to 35,814 and 77,972 is: 169,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814 : 77,972 = 77,972 : x
  2. Step 2: Convert to fraction form
    35,814/77,972 = 77,972/x
  3. Step 3: Cross multiply
    35,814x = 77,972 × 77,972
  4. Step 4: Simplify right side
    35,814x = 6,079,632,784
  5. Step 5: Solve for x
    x = 6,079,632,784/35,814
  6. Step 6: Final answer
    x = 169,755.76

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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.