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Finding the Third Proportional to 81,464,100 and 177,274,764

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Solution

The third proportional to 81,464,100 and 177,274,764 is: 385,769,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,464,100 : 177,274,764 = 177,274,764 : x
  2. Step 2: Convert to fraction form
    81,464,100/177,274,764 = 177,274,764/x
  3. Step 3: Cross multiply
    81,464,100x = 177,274,764 × 177,274,764
  4. Step 4: Simplify right side
    81,464,100x = 31,426,341,951,255,696
  5. Step 5: Solve for x
    x = 31,426,341,951,255,696/81,464,100
  6. Step 6: Final answer
    x = 385,769,215.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.