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Finding the Third Proportional to 78,003 and 159,702.26

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Solution

The third proportional to 78,003 and 159,702.26 is: 326,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003 : 159,702.26 = 159,702.26 : x
  2. Step 2: Convert to fraction form
    78,003/159,702.26 = 159,702.26/x
  3. Step 3: Cross multiply
    78,003x = 159,702.26 × 159,702.26
  4. Step 4: Simplify right side
    78,003x = 25,504,811,150.41
  5. Step 5: Solve for x
    x = 25,504,811,150.41/78,003
  6. Step 6: Final answer
    x = 326,972.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.