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Finding the Third Proportional to 320,944 and 458,448

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Solution

The third proportional to 320,944 and 458,448 is: 654,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,944 : 458,448 = 458,448 : x
  2. Step 2: Convert to fraction form
    320,944/458,448 = 458,448/x
  3. Step 3: Cross multiply
    320,944x = 458,448 × 458,448
  4. Step 4: Simplify right side
    320,944x = 210,174,568,704
  5. Step 5: Solve for x
    x = 210,174,568,704/320,944
  6. Step 6: Final answer
    x = 654,863.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.