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Finding the Third Proportional to 152,218.62 and 330,369.42

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Solution

The third proportional to 152,218.62 and 330,369.42 is: 717,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,218.62 : 330,369.42 = 330,369.42 : x
  2. Step 2: Convert to fraction form
    152,218.62/330,369.42 = 330,369.42/x
  3. Step 3: Cross multiply
    152,218.62x = 330,369.42 × 330,369.42
  4. Step 4: Simplify right side
    152,218.62x = 109,143,951,038.50
  5. Step 5: Solve for x
    x = 109,143,951,038.50/152,218.62
  6. Step 6: Final answer
    x = 717,021.04

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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.