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Finding the Third Proportional to 90,274 and 126,205

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Solution

The third proportional to 90,274 and 126,205 is: 176,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,274 : 126,205 = 126,205 : x
  2. Step 2: Convert to fraction form
    90,274/126,205 = 126,205/x
  3. Step 3: Cross multiply
    90,274x = 126,205 × 126,205
  4. Step 4: Simplify right side
    90,274x = 15,927,702,025
  5. Step 5: Solve for x
    x = 15,927,702,025/90,274
  6. Step 6: Final answer
    x = 176,437.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.