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Finding the Third Proportional to 221,144,560 and 479,880,251

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Solution

The third proportional to 221,144,560 and 479,880,251 is: 1,041,332,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,144,560 : 479,880,251 = 479,880,251 : x
  2. Step 2: Convert to fraction form
    221,144,560/479,880,251 = 479,880,251/x
  3. Step 3: Cross multiply
    221,144,560x = 479,880,251 × 479,880,251
  4. Step 4: Simplify right side
    221,144,560x = 230,285,055,299,823,008
  5. Step 5: Solve for x
    x = 230,285,055,299,823,008/221,144,560
  6. Step 6: Final answer
    x = 1,041,332,670.81

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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.