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Finding the Third Proportional to 451,459 and 940,284

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Solution

The third proportional to 451,459 and 940,284 is: 1,958,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,459 : 940,284 = 940,284 : x
  2. Step 2: Convert to fraction form
    451,459/940,284 = 940,284/x
  3. Step 3: Cross multiply
    451,459x = 940,284 × 940,284
  4. Step 4: Simplify right side
    451,459x = 884,134,000,656
  5. Step 5: Solve for x
    x = 884,134,000,656/451,459
  6. Step 6: Final answer
    x = 1,958,392.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.