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Finding the Third Proportional to 81,316 and 177,992

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Solution

The third proportional to 81,316 and 177,992 is: 389,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,316 : 177,992 = 177,992 : x
  2. Step 2: Convert to fraction form
    81,316/177,992 = 177,992/x
  3. Step 3: Cross multiply
    81,316x = 177,992 × 177,992
  4. Step 4: Simplify right side
    81,316x = 31,681,152,064
  5. Step 5: Solve for x
    x = 31,681,152,064/81,316
  6. Step 6: Final answer
    x = 389,605.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.