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Finding the Third Proportional to 645,648,880 and 905,973,233

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Solution

The third proportional to 645,648,880 and 905,973,233 is: 1,271,259,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,648,880 : 905,973,233 = 905,973,233 : x
  2. Step 2: Convert to fraction form
    645,648,880/905,973,233 = 905,973,233/x
  3. Step 3: Cross multiply
    645,648,880x = 905,973,233 × 905,973,233
  4. Step 4: Simplify right side
    645,648,880x = 820,787,498,912,472,320
  5. Step 5: Solve for x
    x = 820,787,498,912,472,320/645,648,880
  6. Step 6: Final answer
    x = 1,271,259,850.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.