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Finding the Third Proportional to 221,808,336 and 494,617,376

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Solution

The third proportional to 221,808,336 and 494,617,376 is: 1,102,962,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808,336 : 494,617,376 = 494,617,376 : x
  2. Step 2: Convert to fraction form
    221,808,336/494,617,376 = 494,617,376/x
  3. Step 3: Cross multiply
    221,808,336x = 494,617,376 × 494,617,376
  4. Step 4: Simplify right side
    221,808,336x = 244,646,348,641,125,376
  5. Step 5: Solve for x
    x = 244,646,348,641,125,376/221,808,336
  6. Step 6: Final answer
    x = 1,102,962,823.91

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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.