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Finding the Third Proportional to 137,222 and 205,257

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Solution

The third proportional to 137,222 and 205,257 is: 307,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,222 : 205,257 = 205,257 : x
  2. Step 2: Convert to fraction form
    137,222/205,257 = 205,257/x
  3. Step 3: Cross multiply
    137,222x = 205,257 × 205,257
  4. Step 4: Simplify right side
    137,222x = 42,130,436,049
  5. Step 5: Solve for x
    x = 42,130,436,049/137,222
  6. Step 6: Final answer
    x = 307,023.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.