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Finding the Third Proportional to 77,918 and 168,961

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Solution

The third proportional to 77,918 and 168,961 is: 366,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,918 : 168,961 = 168,961 : x
  2. Step 2: Convert to fraction form
    77,918/168,961 = 168,961/x
  3. Step 3: Cross multiply
    77,918x = 168,961 × 168,961
  4. Step 4: Simplify right side
    77,918x = 28,547,819,521
  5. Step 5: Solve for x
    x = 28,547,819,521/77,918
  6. Step 6: Final answer
    x = 366,382.86

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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.