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Finding the Third Proportional to 32,112 and 77,356

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Solution

The third proportional to 32,112 and 77,356 is: 186,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112 : 77,356 = 77,356 : x
  2. Step 2: Convert to fraction form
    32,112/77,356 = 77,356/x
  3. Step 3: Cross multiply
    32,112x = 77,356 × 77,356
  4. Step 4: Simplify right side
    32,112x = 5,983,950,736
  5. Step 5: Solve for x
    x = 5,983,950,736/32,112
  6. Step 6: Final answer
    x = 186,346.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.