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Finding the Third Proportional to 108,780 and 230,628

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Solution

The third proportional to 108,780 and 230,628 is: 488,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,780 : 230,628 = 230,628 : x
  2. Step 2: Convert to fraction form
    108,780/230,628 = 230,628/x
  3. Step 3: Cross multiply
    108,780x = 230,628 × 230,628
  4. Step 4: Simplify right side
    108,780x = 53,189,274,384
  5. Step 5: Solve for x
    x = 53,189,274,384/108,780
  6. Step 6: Final answer
    x = 488,961.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.