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Finding the Third Proportional to 108,770 and 223,396

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Solution

The third proportional to 108,770 and 223,396 is: 458,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,770 : 223,396 = 223,396 : x
  2. Step 2: Convert to fraction form
    108,770/223,396 = 223,396/x
  3. Step 3: Cross multiply
    108,770x = 223,396 × 223,396
  4. Step 4: Simplify right side
    108,770x = 49,905,772,816
  5. Step 5: Solve for x
    x = 49,905,772,816/108,770
  6. Step 6: Final answer
    x = 458,819.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.