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Finding the Third Proportional to 451,457 and 940,280

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Solution

The third proportional to 451,457 and 940,280 is: 1,958,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,457 : 940,280 = 940,280 : x
  2. Step 2: Convert to fraction form
    451,457/940,280 = 940,280/x
  3. Step 3: Cross multiply
    451,457x = 940,280 × 940,280
  4. Step 4: Simplify right side
    451,457x = 884,126,478,400
  5. Step 5: Solve for x
    x = 884,126,478,400/451,457
  6. Step 6: Final answer
    x = 1,958,384.69

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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.