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Finding the Third Proportional to 81,004 and 177,940

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Solution

The third proportional to 81,004 and 177,940 is: 390,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,004 : 177,940 = 177,940 : x
  2. Step 2: Convert to fraction form
    81,004/177,940 = 177,940/x
  3. Step 3: Cross multiply
    81,004x = 177,940 × 177,940
  4. Step 4: Simplify right side
    81,004x = 31,662,643,600
  5. Step 5: Solve for x
    x = 31,662,643,600/81,004
  6. Step 6: Final answer
    x = 390,877.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.