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Finding the Third Proportional to 103,695 and 218,460

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Solution

The third proportional to 103,695 and 218,460 is: 460,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 218,460 = 218,460 : x
  2. Step 2: Convert to fraction form
    103,695/218,460 = 218,460/x
  3. Step 3: Cross multiply
    103,695x = 218,460 × 218,460
  4. Step 4: Simplify right side
    103,695x = 47,724,771,600
  5. Step 5: Solve for x
    x = 47,724,771,600/103,695
  6. Step 6: Final answer
    x = 460,241.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.