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Finding the Third Proportional to 108,448 and 230,720

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Solution

The third proportional to 108,448 and 230,720 is: 490,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,448 : 230,720 = 230,720 : x
  2. Step 2: Convert to fraction form
    108,448/230,720 = 230,720/x
  3. Step 3: Cross multiply
    108,448x = 230,720 × 230,720
  4. Step 4: Simplify right side
    108,448x = 53,231,718,400
  5. Step 5: Solve for x
    x = 53,231,718,400/108,448
  6. Step 6: Final answer
    x = 490,850.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.