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Finding the Third Proportional to 152,403 and 330,231

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Solution

The third proportional to 152,403 and 330,231 is: 715,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,403 : 330,231 = 330,231 : x
  2. Step 2: Convert to fraction form
    152,403/330,231 = 330,231/x
  3. Step 3: Cross multiply
    152,403x = 330,231 × 330,231
  4. Step 4: Simplify right side
    152,403x = 109,052,513,361
  5. Step 5: Solve for x
    x = 109,052,513,361/152,403
  6. Step 6: Final answer
    x = 715,553.59

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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.