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Finding the Third Proportional to 4,278,386 and 6,418,503

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Solution

The third proportional to 4,278,386 and 6,418,503 is: 9,629,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278,386 : 6,418,503 = 6,418,503 : x
  2. Step 2: Convert to fraction form
    4,278,386/6,418,503 = 6,418,503/x
  3. Step 3: Cross multiply
    4,278,386x = 6,418,503 × 6,418,503
  4. Step 4: Simplify right side
    4,278,386x = 41,197,180,761,009
  5. Step 5: Solve for x
    x = 41,197,180,761,009/4,278,386
  6. Step 6: Final answer
    x = 9,629,140.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.