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Finding the Third Proportional to 128,889 and 195,115.50

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Solution

The third proportional to 128,889 and 195,115.50 is: 295,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,889 : 195,115.50 = 195,115.50 : x
  2. Step 2: Convert to fraction form
    128,889/195,115.50 = 195,115.50/x
  3. Step 3: Cross multiply
    128,889x = 195,115.50 × 195,115.50
  4. Step 4: Simplify right side
    128,889x = 38,070,058,340.25
  5. Step 5: Solve for x
    x = 38,070,058,340.25/128,889
  6. Step 6: Final answer
    x = 295,370.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.