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Finding the Third Proportional to 32,420 and 69,808

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Solution

The third proportional to 32,420 and 69,808 is: 150,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420 : 69,808 = 69,808 : x
  2. Step 2: Convert to fraction form
    32,420/69,808 = 69,808/x
  3. Step 3: Cross multiply
    32,420x = 69,808 × 69,808
  4. Step 4: Simplify right side
    32,420x = 4,873,156,864
  5. Step 5: Solve for x
    x = 4,873,156,864/32,420
  6. Step 6: Final answer
    x = 150,313.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.