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Finding the Third Proportional to 100,368 and 133,236

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Solution

The third proportional to 100,368 and 133,236 is: 176,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,368 : 133,236 = 133,236 : x
  2. Step 2: Convert to fraction form
    100,368/133,236 = 133,236/x
  3. Step 3: Cross multiply
    100,368x = 133,236 × 133,236
  4. Step 4: Simplify right side
    100,368x = 17,751,831,696
  5. Step 5: Solve for x
    x = 17,751,831,696/100,368
  6. Step 6: Final answer
    x = 176,867.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.