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Finding the Third Proportional to 408,846,612 and 891,690,156

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Solution

The third proportional to 408,846,612 and 891,690,156 is: 1,944,766,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846,612 : 891,690,156 = 891,690,156 : x
  2. Step 2: Convert to fraction form
    408,846,612/891,690,156 = 891,690,156/x
  3. Step 3: Cross multiply
    408,846,612x = 891,690,156 × 891,690,156
  4. Step 4: Simplify right side
    408,846,612x = 795,111,334,307,304,320
  5. Step 5: Solve for x
    x = 795,111,334,307,304,320/408,846,612
  6. Step 6: Final answer
    x = 1,944,766,841.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.