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Finding the Third Proportional to 158,896 and 328,790

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Solution

The third proportional to 158,896 and 328,790 is: 680,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,896 : 328,790 = 328,790 : x
  2. Step 2: Convert to fraction form
    158,896/328,790 = 328,790/x
  3. Step 3: Cross multiply
    158,896x = 328,790 × 328,790
  4. Step 4: Simplify right side
    158,896x = 108,102,864,100
  5. Step 5: Solve for x
    x = 108,102,864,100/158,896
  6. Step 6: Final answer
    x = 680,337.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.