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Finding the Third Proportional to 152,720.44 and 253,170.56

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Solution

The third proportional to 152,720.44 and 253,170.56 is: 419,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,720.44 : 253,170.56 = 253,170.56 : x
  2. Step 2: Convert to fraction form
    152,720.44/253,170.56 = 253,170.56/x
  3. Step 3: Cross multiply
    152,720.44x = 253,170.56 × 253,170.56
  4. Step 4: Simplify right side
    152,720.44x = 64,095,333,716.57
  5. Step 5: Solve for x
    x = 64,095,333,716.57/152,720.44
  6. Step 6: Final answer
    x = 419,690.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.