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Finding the Third Proportional to 158,703 and 330,558

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Solution

The third proportional to 158,703 and 330,558 is: 688,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,703 : 330,558 = 330,558 : x
  2. Step 2: Convert to fraction form
    158,703/330,558 = 330,558/x
  3. Step 3: Cross multiply
    158,703x = 330,558 × 330,558
  4. Step 4: Simplify right side
    158,703x = 109,268,591,364
  5. Step 5: Solve for x
    x = 109,268,591,364/158,703
  6. Step 6: Final answer
    x = 688,509.93

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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.