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Finding the Third Proportional to 86,406 and 177,117

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Solution

The third proportional to 86,406 and 177,117 is: 363,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406 : 177,117 = 177,117 : x
  2. Step 2: Convert to fraction form
    86,406/177,117 = 177,117/x
  3. Step 3: Cross multiply
    86,406x = 177,117 × 177,117
  4. Step 4: Simplify right side
    86,406x = 31,370,431,689
  5. Step 5: Solve for x
    x = 31,370,431,689/86,406
  6. Step 6: Final answer
    x = 363,058.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.