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Finding the Third Proportional to 66,886 and 157,885

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Solution

The third proportional to 66,886 and 157,885 is: 372,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,886 : 157,885 = 157,885 : x
  2. Step 2: Convert to fraction form
    66,886/157,885 = 157,885/x
  3. Step 3: Cross multiply
    66,886x = 157,885 × 157,885
  4. Step 4: Simplify right side
    66,886x = 24,927,673,225
  5. Step 5: Solve for x
    x = 24,927,673,225/66,886
  6. Step 6: Final answer
    x = 372,688.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.