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Finding the Third Proportional to 451,476 and 940,320

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Solution

The third proportional to 451,476 and 940,320 is: 1,958,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,476 : 940,320 = 940,320 : x
  2. Step 2: Convert to fraction form
    451,476/940,320 = 940,320/x
  3. Step 3: Cross multiply
    451,476x = 940,320 × 940,320
  4. Step 4: Simplify right side
    451,476x = 884,201,702,400
  5. Step 5: Solve for x
    x = 884,201,702,400/451,476
  6. Step 6: Final answer
    x = 1,958,468.89

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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.