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Finding the Third Proportional to 221,350,414.50 and 330,805,639.50

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Solution

The third proportional to 221,350,414.50 and 330,805,639.50 is: 494,385,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,350,414.50 : 330,805,639.50 = 330,805,639.50 : x
  2. Step 2: Convert to fraction form
    221,350,414.50/330,805,639.50 = 330,805,639.50/x
  3. Step 3: Cross multiply
    221,350,414.50x = 330,805,639.50 × 330,805,639.50
  4. Step 4: Simplify right side
    221,350,414.50x = 109,432,371,125,003,968
  5. Step 5: Solve for x
    x = 109,432,371,125,003,968/221,350,414.50
  6. Step 6: Final answer
    x = 494,385,209.86

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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.