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Finding the Third Proportional to 218,920,070 and 475,945,456

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Solution

The third proportional to 218,920,070 and 475,945,456 is: 1,034,734,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920,070 : 475,945,456 = 475,945,456 : x
  2. Step 2: Convert to fraction form
    218,920,070/475,945,456 = 475,945,456/x
  3. Step 3: Cross multiply
    218,920,070x = 475,945,456 × 475,945,456
  4. Step 4: Simplify right side
    218,920,070x = 226,524,077,087,047,936
  5. Step 5: Solve for x
    x = 226,524,077,087,047,936/218,920,070
  6. Step 6: Final answer
    x = 1,034,734,170.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.