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Finding the Third Proportional to 4,387,419 and 6,780,267

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Solution

The third proportional to 4,387,419 and 6,780,267 is: 10,478,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387,419 : 6,780,267 = 6,780,267 : x
  2. Step 2: Convert to fraction form
    4,387,419/6,780,267 = 6,780,267/x
  3. Step 3: Cross multiply
    4,387,419x = 6,780,267 × 6,780,267
  4. Step 4: Simplify right side
    4,387,419x = 45,972,020,591,289
  5. Step 5: Solve for x
    x = 45,972,020,591,289/4,387,419
  6. Step 6: Final answer
    x = 10,478,146.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.