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Finding the Third Proportional to 221,350,414 and 330,805,638

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Solution

The third proportional to 221,350,414 and 330,805,638 is: 494,385,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,350,414 : 330,805,638 = 330,805,638 : x
  2. Step 2: Convert to fraction form
    221,350,414/330,805,638 = 330,805,638/x
  3. Step 3: Cross multiply
    221,350,414x = 330,805,638 × 330,805,638
  4. Step 4: Simplify right side
    221,350,414x = 109,432,370,132,587,040
  5. Step 5: Solve for x
    x = 109,432,370,132,587,040/221,350,414
  6. Step 6: Final answer
    x = 494,385,206.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.