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Finding the Third Proportional to 108,489 and 235,021

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Solution

The third proportional to 108,489 and 235,021 is: 509,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,489 : 235,021 = 235,021 : x
  2. Step 2: Convert to fraction form
    108,489/235,021 = 235,021/x
  3. Step 3: Cross multiply
    108,489x = 235,021 × 235,021
  4. Step 4: Simplify right side
    108,489x = 55,234,870,441
  5. Step 5: Solve for x
    x = 55,234,870,441/108,489
  6. Step 6: Final answer
    x = 509,128.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.