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Finding the Third Proportional to 3,578,850 and 5,420,397

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Solution

The third proportional to 3,578,850 and 5,420,397 is: 8,209,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578,850 : 5,420,397 = 5,420,397 : x
  2. Step 2: Convert to fraction form
    3,578,850/5,420,397 = 5,420,397/x
  3. Step 3: Cross multiply
    3,578,850x = 5,420,397 × 5,420,397
  4. Step 4: Simplify right side
    3,578,850x = 29,380,703,637,609
  5. Step 5: Solve for x
    x = 29,380,703,637,609/3,578,850
  6. Step 6: Final answer
    x = 8,209,537.60

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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.