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Finding the Third Proportional to 91,378,128 and 199,424,904

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Solution

The third proportional to 91,378,128 and 199,424,904 is: 435,227,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,378,128 : 199,424,904 = 199,424,904 : x
  2. Step 2: Convert to fraction form
    91,378,128/199,424,904 = 199,424,904/x
  3. Step 3: Cross multiply
    91,378,128x = 199,424,904 × 199,424,904
  4. Step 4: Simplify right side
    91,378,128x = 39,770,292,335,409,216
  5. Step 5: Solve for x
    x = 39,770,292,335,409,216/91,378,128
  6. Step 6: Final answer
    x = 435,227,698.42

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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.