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Finding the Third Proportional to 90,072 and 191,220.75

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Solution

The third proportional to 90,072 and 191,220.75 is: 405,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,072 : 191,220.75 = 191,220.75 : x
  2. Step 2: Convert to fraction form
    90,072/191,220.75 = 191,220.75/x
  3. Step 3: Cross multiply
    90,072x = 191,220.75 × 191,220.75
  4. Step 4: Simplify right side
    90,072x = 36,565,375,230.56
  5. Step 5: Solve for x
    x = 36,565,375,230.56/90,072
  6. Step 6: Final answer
    x = 405,957.18

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1.5x scale

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.