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Finding the Third Proportional to 133,436 and 293,116

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Solution

The third proportional to 133,436 and 293,116 is: 643,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,436 : 293,116 = 293,116 : x
  2. Step 2: Convert to fraction form
    133,436/293,116 = 293,116/x
  3. Step 3: Cross multiply
    133,436x = 293,116 × 293,116
  4. Step 4: Simplify right side
    133,436x = 85,916,989,456
  5. Step 5: Solve for x
    x = 85,916,989,456/133,436
  6. Step 6: Final answer
    x = 643,881.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.