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Finding the Third Proportional to 152,858.81 and 220,174.88

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Solution

The third proportional to 152,858.81 and 220,174.88 is: 317,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,858.81 : 220,174.88 = 220,174.88 : x
  2. Step 2: Convert to fraction form
    152,858.81/220,174.88 = 220,174.88/x
  3. Step 3: Cross multiply
    152,858.81x = 220,174.88 × 220,174.88
  4. Step 4: Simplify right side
    152,858.81x = 48,476,975,581.27
  5. Step 5: Solve for x
    x = 48,476,975,581.27/152,858.81
  6. Step 6: Final answer
    x = 317,135.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.