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Finding the Third Proportional to 94,644 and 133,236

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Solution

The third proportional to 94,644 and 133,236 is: 187,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,644 : 133,236 = 133,236 : x
  2. Step 2: Convert to fraction form
    94,644/133,236 = 133,236/x
  3. Step 3: Cross multiply
    94,644x = 133,236 × 133,236
  4. Step 4: Simplify right side
    94,644x = 17,751,831,696
  5. Step 5: Solve for x
    x = 17,751,831,696/94,644
  6. Step 6: Final answer
    x = 187,564.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.