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Finding the Third Proportional to 128,565.98 and 196,112.39

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Solution

The third proportional to 128,565.98 and 196,112.39 is: 299,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,565.98 : 196,112.39 = 196,112.39 : x
  2. Step 2: Convert to fraction form
    128,565.98/196,112.39 = 196,112.39/x
  3. Step 3: Cross multiply
    128,565.98x = 196,112.39 × 196,112.39
  4. Step 4: Simplify right side
    128,565.98x = 38,460,069,756.65
  5. Step 5: Solve for x
    x = 38,460,069,756.65/128,565.98
  6. Step 6: Final answer
    x = 299,146.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.