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Finding the Third Proportional to 103,476,213 and 225,323,223.75

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Solution

The third proportional to 103,476,213 and 225,323,223.75 is: 490,649,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,476,213 : 225,323,223.75 = 225,323,223.75 : x
  2. Step 2: Convert to fraction form
    103,476,213/225,323,223.75 = 225,323,223.75/x
  3. Step 3: Cross multiply
    103,476,213x = 225,323,223.75 × 225,323,223.75
  4. Step 4: Simplify right side
    103,476,213x = 50,770,555,161,092,568
  5. Step 5: Solve for x
    x = 50,770,555,161,092,568/103,476,213
  6. Step 6: Final answer
    x = 490,649,528.90

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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.