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Finding the Third Proportional to 100,200.38 and 159,777.56

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Solution

The third proportional to 100,200.38 and 159,777.56 is: 254,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.38 : 159,777.56 = 159,777.56 : x
  2. Step 2: Convert to fraction form
    100,200.38/159,777.56 = 159,777.56/x
  3. Step 3: Cross multiply
    100,200.38x = 159,777.56 × 159,777.56
  4. Step 4: Simplify right side
    100,200.38x = 25,528,869,478.44
  5. Step 5: Solve for x
    x = 25,528,869,478.44/100,200.38
  6. Step 6: Final answer
    x = 254,778.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.