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Finding the Third Proportional to 152,988.75 and 331,396.31

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Solution

The third proportional to 152,988.75 and 331,396.31 is: 717,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988.75 : 331,396.31 = 331,396.31 : x
  2. Step 2: Convert to fraction form
    152,988.75/331,396.31 = 331,396.31/x
  3. Step 3: Cross multiply
    152,988.75x = 331,396.31 × 331,396.31
  4. Step 4: Simplify right side
    152,988.75x = 109,823,515,938.60
  5. Step 5: Solve for x
    x = 109,823,515,938.60/152,988.75
  6. Step 6: Final answer
    x = 717,853.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.