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Finding the Third Proportional to 152,612 and 330,647

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Solution

The third proportional to 152,612 and 330,647 is: 716,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,612 : 330,647 = 330,647 : x
  2. Step 2: Convert to fraction form
    152,612/330,647 = 330,647/x
  3. Step 3: Cross multiply
    152,612x = 330,647 × 330,647
  4. Step 4: Simplify right side
    152,612x = 109,327,438,609
  5. Step 5: Solve for x
    x = 109,327,438,609/152,612
  6. Step 6: Final answer
    x = 716,375.11

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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.