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Finding the Third Proportional to 152,829 and 331,915

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Solution

The third proportional to 152,829 and 331,915 is: 720,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,829 : 331,915 = 331,915 : x
  2. Step 2: Convert to fraction form
    152,829/331,915 = 331,915/x
  3. Step 3: Cross multiply
    152,829x = 331,915 × 331,915
  4. Step 4: Simplify right side
    152,829x = 110,167,567,225
  5. Step 5: Solve for x
    x = 110,167,567,225/152,829
  6. Step 6: Final answer
    x = 720,855.12

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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.