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Finding the Third Proportional to 77,916 and 168,957

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Solution

The third proportional to 77,916 and 168,957 is: 366,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,916 : 168,957 = 168,957 : x
  2. Step 2: Convert to fraction form
    77,916/168,957 = 168,957/x
  3. Step 3: Cross multiply
    77,916x = 168,957 × 168,957
  4. Step 4: Simplify right side
    77,916x = 28,546,467,849
  5. Step 5: Solve for x
    x = 28,546,467,849/77,916
  6. Step 6: Final answer
    x = 366,374.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.