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Finding the Third Proportional to 4,278,398 and 6,418,521

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Solution

The third proportional to 4,278,398 and 6,418,521 is: 9,629,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278,398 : 6,418,521 = 6,418,521 : x
  2. Step 2: Convert to fraction form
    4,278,398/6,418,521 = 6,418,521/x
  3. Step 3: Cross multiply
    4,278,398x = 6,418,521 × 6,418,521
  4. Step 4: Simplify right side
    4,278,398x = 41,197,411,827,441
  5. Step 5: Solve for x
    x = 41,197,411,827,441/4,278,398
  6. Step 6: Final answer
    x = 9,629,167.70

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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.