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Finding the Third Proportional to 221,836,314 and 478,747,242

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Solution

The third proportional to 221,836,314 and 478,747,242 is: 1,033,189,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,836,314 : 478,747,242 = 478,747,242 : x
  2. Step 2: Convert to fraction form
    221,836,314/478,747,242 = 478,747,242/x
  3. Step 3: Cross multiply
    221,836,314x = 478,747,242 × 478,747,242
  4. Step 4: Simplify right side
    221,836,314x = 229,198,921,722,606,560
  5. Step 5: Solve for x
    x = 229,198,921,722,606,560/221,836,314
  6. Step 6: Final answer
    x = 1,033,189,370.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.