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Finding the Third Proportional to 129,399 and 197,554.50

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Solution

The third proportional to 129,399 and 197,554.50 is: 301,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,399 : 197,554.50 = 197,554.50 : x
  2. Step 2: Convert to fraction form
    129,399/197,554.50 = 197,554.50/x
  3. Step 3: Cross multiply
    129,399x = 197,554.50 × 197,554.50
  4. Step 4: Simplify right side
    129,399x = 39,027,780,470.25
  5. Step 5: Solve for x
    x = 39,027,780,470.25/129,399
  6. Step 6: Final answer
    x = 301,608.05

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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.