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Finding the Third Proportional to 81,030,285 and 177,809,696

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Solution

The third proportional to 81,030,285 and 177,809,696 is: 390,178,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,030,285 : 177,809,696 = 177,809,696 : x
  2. Step 2: Convert to fraction form
    81,030,285/177,809,696 = 177,809,696/x
  3. Step 3: Cross multiply
    81,030,285x = 177,809,696 × 177,809,696
  4. Step 4: Simplify right side
    81,030,285x = 31,616,287,991,612,416
  5. Step 5: Solve for x
    x = 31,616,287,991,612,416/81,030,285
  6. Step 6: Final answer
    x = 390,178,659.64

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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.