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Finding the Third Proportional to 132,770 and 203,203

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Solution

The third proportional to 132,770 and 203,203 is: 310,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,770 : 203,203 = 203,203 : x
  2. Step 2: Convert to fraction form
    132,770/203,203 = 203,203/x
  3. Step 3: Cross multiply
    132,770x = 203,203 × 203,203
  4. Step 4: Simplify right side
    132,770x = 41,291,459,209
  5. Step 5: Solve for x
    x = 41,291,459,209/132,770
  6. Step 6: Final answer
    x = 310,999.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.