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Finding the Third Proportional to 158,526 and 330,147

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Solution

The third proportional to 158,526 and 330,147 is: 687,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,526 : 330,147 = 330,147 : x
  2. Step 2: Convert to fraction form
    158,526/330,147 = 330,147/x
  3. Step 3: Cross multiply
    158,526x = 330,147 × 330,147
  4. Step 4: Simplify right side
    158,526x = 108,997,041,609
  5. Step 5: Solve for x
    x = 108,997,041,609/158,526
  6. Step 6: Final answer
    x = 687,565.71

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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.