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Finding the Third Proportional to 152,201 and 330,642

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Solution

The third proportional to 152,201 and 330,642 is: 718,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,201 : 330,642 = 330,642 : x
  2. Step 2: Convert to fraction form
    152,201/330,642 = 330,642/x
  3. Step 3: Cross multiply
    152,201x = 330,642 × 330,642
  4. Step 4: Simplify right side
    152,201x = 109,324,132,164
  5. Step 5: Solve for x
    x = 109,324,132,164/152,201
  6. Step 6: Final answer
    x = 718,287.87

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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.