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Finding the Third Proportional to 81,008 and 177,948

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Solution

The third proportional to 81,008 and 177,948 is: 390,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,008 : 177,948 = 177,948 : x
  2. Step 2: Convert to fraction form
    81,008/177,948 = 177,948/x
  3. Step 3: Cross multiply
    81,008x = 177,948 × 177,948
  4. Step 4: Simplify right side
    81,008x = 31,665,490,704
  5. Step 5: Solve for x
    x = 31,665,490,704/81,008
  6. Step 6: Final answer
    x = 390,893.38

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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.