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Finding the Third Proportional to 68,207 and 159,309

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Solution

The third proportional to 68,207 and 159,309 is: 372,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,207 : 159,309 = 159,309 : x
  2. Step 2: Convert to fraction form
    68,207/159,309 = 159,309/x
  3. Step 3: Cross multiply
    68,207x = 159,309 × 159,309
  4. Step 4: Simplify right side
    68,207x = 25,379,357,481
  5. Step 5: Solve for x
    x = 25,379,357,481/68,207
  6. Step 6: Final answer
    x = 372,093.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.