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Finding the Third Proportional to 221,808,546 and 494,618,076

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Solution

The third proportional to 221,808,546 and 494,618,076 is: 1,102,964,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808,546 : 494,618,076 = 494,618,076 : x
  2. Step 2: Convert to fraction form
    221,808,546/494,618,076 = 494,618,076/x
  3. Step 3: Cross multiply
    221,808,546x = 494,618,076 × 494,618,076
  4. Step 4: Simplify right side
    221,808,546x = 244,647,041,105,941,760
  5. Step 5: Solve for x
    x = 244,647,041,105,941,760/221,808,546
  6. Step 6: Final answer
    x = 1,102,964,901.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.