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Finding the Third Proportional to 126,401.50 and 197,378.50

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Solution

The third proportional to 126,401.50 and 197,378.50 is: 308,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,401.50 : 197,378.50 = 197,378.50 : x
  2. Step 2: Convert to fraction form
    126,401.50/197,378.50 = 197,378.50/x
  3. Step 3: Cross multiply
    126,401.50x = 197,378.50 × 197,378.50
  4. Step 4: Simplify right side
    126,401.50x = 38,958,272,262.25
  5. Step 5: Solve for x
    x = 38,958,272,262.25/126,401.50
  6. Step 6: Final answer
    x = 308,210.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.