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Finding the Third Proportional to 640,840,468 and 1,315,653,812

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Solution

The third proportional to 640,840,468 and 1,315,653,812 is: 2,701,054,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,840,468 : 1,315,653,812 = 1,315,653,812 : x
  2. Step 2: Convert to fraction form
    640,840,468/1,315,653,812 = 1,315,653,812/x
  3. Step 3: Cross multiply
    640,840,468x = 1,315,653,812 × 1,315,653,812
  4. Step 4: Simplify right side
    640,840,468x = 1,730,944,953,030,131,456
  5. Step 5: Solve for x
    x = 1,730,944,953,030,131,456/640,840,468
  6. Step 6: Final answer
    x = 2,701,054,380.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.