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Finding the Third Proportional to 152,409 and 330,243

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Solution

The third proportional to 152,409 and 330,243 is: 715,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,409 : 330,243 = 330,243 : x
  2. Step 2: Convert to fraction form
    152,409/330,243 = 330,243/x
  3. Step 3: Cross multiply
    152,409x = 330,243 × 330,243
  4. Step 4: Simplify right side
    152,409x = 109,060,439,049
  5. Step 5: Solve for x
    x = 109,060,439,049/152,409
  6. Step 6: Final answer
    x = 715,577.42

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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.