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Finding the Third Proportional to 199,853,510 and 445,659,820

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Solution

The third proportional to 199,853,510 and 445,659,820 is: 993,791,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853,510 : 445,659,820 = 445,659,820 : x
  2. Step 2: Convert to fraction form
    199,853,510/445,659,820 = 445,659,820/x
  3. Step 3: Cross multiply
    199,853,510x = 445,659,820 × 445,659,820
  4. Step 4: Simplify right side
    199,853,510x = 198,612,675,162,432,384
  5. Step 5: Solve for x
    x = 198,612,675,162,432,384/199,853,510
  6. Step 6: Final answer
    x = 993,791,278.23

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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.