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Finding the Third Proportional to 645,648,878 and 905,973,230

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Solution

The third proportional to 645,648,878 and 905,973,230 is: 1,271,259,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,648,878 : 905,973,230 = 905,973,230 : x
  2. Step 2: Convert to fraction form
    645,648,878/905,973,230 = 905,973,230/x
  3. Step 3: Cross multiply
    645,648,878x = 905,973,230 × 905,973,230
  4. Step 4: Simplify right side
    645,648,878x = 820,787,493,476,632,960
  5. Step 5: Solve for x
    x = 820,787,493,476,632,960/645,648,878
  6. Step 6: Final answer
    x = 1,271,259,846.40

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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.