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Finding the Third Proportional to 4,481,920 and 6,442,940

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Solution

The third proportional to 4,481,920 and 6,442,940 is: 9,261,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481,920 : 6,442,940 = 6,442,940 : x
  2. Step 2: Convert to fraction form
    4,481,920/6,442,940 = 6,442,940/x
  3. Step 3: Cross multiply
    4,481,920x = 6,442,940 × 6,442,940
  4. Step 4: Simplify right side
    4,481,920x = 41,511,475,843,600
  5. Step 5: Solve for x
    x = 41,511,475,843,600/4,481,920
  6. Step 6: Final answer
    x = 9,261,985.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.