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Finding the Third Proportional to 103,476,209 and 225,323,219

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Solution

The third proportional to 103,476,209 and 225,323,219 is: 490,649,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,476,209 : 225,323,219 = 225,323,219 : x
  2. Step 2: Convert to fraction form
    103,476,209/225,323,219 = 225,323,219/x
  3. Step 3: Cross multiply
    103,476,209x = 225,323,219 × 225,323,219
  4. Step 4: Simplify right side
    103,476,209x = 50,770,553,020,521,960
  5. Step 5: Solve for x
    x = 50,770,553,020,521,960/103,476,209
  6. Step 6: Final answer
    x = 490,649,527.18

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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.