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Finding the Third Proportional to 3,578,975 and 5,420,559

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Solution

The third proportional to 3,578,975 and 5,420,559 is: 8,209,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578,975 : 5,420,559 = 5,420,559 : x
  2. Step 2: Convert to fraction form
    3,578,975/5,420,559 = 5,420,559/x
  3. Step 3: Cross multiply
    3,578,975x = 5,420,559 × 5,420,559
  4. Step 4: Simplify right side
    3,578,975x = 29,382,459,872,481
  5. Step 5: Solve for x
    x = 29,382,459,872,481/3,578,975
  6. Step 6: Final answer
    x = 8,209,741.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.