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Finding the Third Proportional to 2,000,289 and 4,320,438

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Solution

The third proportional to 2,000,289 and 4,320,438 is: 9,331,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,289 : 4,320,438 = 4,320,438 : x
  2. Step 2: Convert to fraction form
    2,000,289/4,320,438 = 4,320,438/x
  3. Step 3: Cross multiply
    2,000,289x = 4,320,438 × 4,320,438
  4. Step 4: Simplify right side
    2,000,289x = 18,666,184,511,844
  5. Step 5: Solve for x
    x = 18,666,184,511,844/2,000,289
  6. Step 6: Final answer
    x = 9,331,743.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.