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Finding the Third Proportional to 218,178 and 293,187

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Solution

The third proportional to 218,178 and 293,187 is: 393,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,178 : 293,187 = 293,187 : x
  2. Step 2: Convert to fraction form
    218,178/293,187 = 293,187/x
  3. Step 3: Cross multiply
    218,178x = 293,187 × 293,187
  4. Step 4: Simplify right side
    218,178x = 85,958,616,969
  5. Step 5: Solve for x
    x = 85,958,616,969/218,178
  6. Step 6: Final answer
    x = 393,983.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.