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Finding the Third Proportional to 158,632 and 330,416

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Solution

The third proportional to 158,632 and 330,416 is: 688,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,632 : 330,416 = 330,416 : x
  2. Step 2: Convert to fraction form
    158,632/330,416 = 330,416/x
  3. Step 3: Cross multiply
    158,632x = 330,416 × 330,416
  4. Step 4: Simplify right side
    158,632x = 109,174,733,056
  5. Step 5: Solve for x
    x = 109,174,733,056/158,632
  6. Step 6: Final answer
    x = 688,226.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.