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Finding the Third Proportional to 158,657.25 and 330,436.31

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Solution

The third proportional to 158,657.25 and 330,436.31 is: 688,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,657.25 : 330,436.31 = 330,436.31 : x
  2. Step 2: Convert to fraction form
    158,657.25/330,436.31 = 330,436.31/x
  3. Step 3: Cross multiply
    158,657.25x = 330,436.31 × 330,436.31
  4. Step 4: Simplify right side
    158,657.25x = 109,188,156,618.60
  5. Step 5: Solve for x
    x = 109,188,156,618.60/158,657.25
  6. Step 6: Final answer
    x = 688,201.49

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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.