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Finding the Third Proportional to 158,761.50 and 218,702.25

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Solution

The third proportional to 158,761.50 and 218,702.25 is: 301,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,761.50 : 218,702.25 = 218,702.25 : x
  2. Step 2: Convert to fraction form
    158,761.50/218,702.25 = 218,702.25/x
  3. Step 3: Cross multiply
    158,761.50x = 218,702.25 × 218,702.25
  4. Step 4: Simplify right side
    158,761.50x = 47,830,674,155.06
  5. Step 5: Solve for x
    x = 47,830,674,155.06/158,761.50
  6. Step 6: Final answer
    x = 301,273.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.