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Finding the Third Proportional to 4,138,472 and 6,384,840

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Solution

The third proportional to 4,138,472 and 6,384,840 is: 9,850,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,472 : 6,384,840 = 6,384,840 : x
  2. Step 2: Convert to fraction form
    4,138,472/6,384,840 = 6,384,840/x
  3. Step 3: Cross multiply
    4,138,472x = 6,384,840 × 6,384,840
  4. Step 4: Simplify right side
    4,138,472x = 40,766,181,825,600
  5. Step 5: Solve for x
    x = 40,766,181,825,600/4,138,472
  6. Step 6: Final answer
    x = 9,850,539.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.