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Finding the Third Proportional to 221,350,419 and 330,805,646

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Solution

The third proportional to 221,350,419 and 330,805,646 is: 494,385,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,350,419 : 330,805,646 = 330,805,646 : x
  2. Step 2: Convert to fraction form
    221,350,419/330,805,646 = 330,805,646/x
  3. Step 3: Cross multiply
    221,350,419x = 330,805,646 × 330,805,646
  4. Step 4: Simplify right side
    221,350,419x = 109,432,375,425,477,312
  5. Step 5: Solve for x
    x = 109,432,375,425,477,312/221,350,419
  6. Step 6: Final answer
    x = 494,385,219.24

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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.