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Finding the Third Proportional to 137,104 and 217,272

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Solution

The third proportional to 137,104 and 217,272 is: 344,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,104 : 217,272 = 217,272 : x
  2. Step 2: Convert to fraction form
    137,104/217,272 = 217,272/x
  3. Step 3: Cross multiply
    137,104x = 217,272 × 217,272
  4. Step 4: Simplify right side
    137,104x = 47,207,121,984
  5. Step 5: Solve for x
    x = 47,207,121,984/137,104
  6. Step 6: Final answer
    x = 344,316.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.