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Finding the Third Proportional to 103,042 and 217,344

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Solution

The third proportional to 103,042 and 217,344 is: 458,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,042 : 217,344 = 217,344 : x
  2. Step 2: Convert to fraction form
    103,042/217,344 = 217,344/x
  3. Step 3: Cross multiply
    103,042x = 217,344 × 217,344
  4. Step 4: Simplify right side
    103,042x = 47,238,414,336
  5. Step 5: Solve for x
    x = 47,238,414,336/103,042
  6. Step 6: Final answer
    x = 458,438.45

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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.