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Finding the Third Proportional to 77,917 and 168,136

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Solution

The third proportional to 77,917 and 168,136 is: 362,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,917 : 168,136 = 168,136 : x
  2. Step 2: Convert to fraction form
    77,917/168,136 = 168,136/x
  3. Step 3: Cross multiply
    77,917x = 168,136 × 168,136
  4. Step 4: Simplify right side
    77,917x = 28,269,714,496
  5. Step 5: Solve for x
    x = 28,269,714,496/77,917
  6. Step 6: Final answer
    x = 362,818.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.