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Finding the Third Proportional to 77,168 and 102,418

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Solution

The third proportional to 77,168 and 102,418 is: 135,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168 : 102,418 = 102,418 : x
  2. Step 2: Convert to fraction form
    77,168/102,418 = 102,418/x
  3. Step 3: Cross multiply
    77,168x = 102,418 × 102,418
  4. Step 4: Simplify right side
    77,168x = 10,489,446,724
  5. Step 5: Solve for x
    x = 10,489,446,724/77,168
  6. Step 6: Final answer
    x = 135,930.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.