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Finding the Third Proportional to 33,420 and 77,712

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Solution

The third proportional to 33,420 and 77,712 is: 180,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420 : 77,712 = 77,712 : x
  2. Step 2: Convert to fraction form
    33,420/77,712 = 77,712/x
  3. Step 3: Cross multiply
    33,420x = 77,712 × 77,712
  4. Step 4: Simplify right side
    33,420x = 6,039,154,944
  5. Step 5: Solve for x
    x = 6,039,154,944/33,420
  6. Step 6: Final answer
    x = 180,704.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.