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Finding the Third Proportional to 133,774,713 and 204,660,334.50

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Solution

The third proportional to 133,774,713 and 204,660,334.50 is: 313,107,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774,713 : 204,660,334.50 = 204,660,334.50 : x
  2. Step 2: Convert to fraction form
    133,774,713/204,660,334.50 = 204,660,334.50/x
  3. Step 3: Cross multiply
    133,774,713x = 204,660,334.50 × 204,660,334.50
  4. Step 4: Simplify right side
    133,774,713x = 41,885,852,517,651,888
  5. Step 5: Solve for x
    x = 41,885,852,517,651,888/133,774,713
  6. Step 6: Final answer
    x = 313,107,399.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.