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Finding the Third Proportional to 126,203,833.50 and 193,864,540.50

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Solution

The third proportional to 126,203,833.50 and 193,864,540.50 is: 297,799,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,203,833.50 : 193,864,540.50 = 193,864,540.50 : x
  2. Step 2: Convert to fraction form
    126,203,833.50/193,864,540.50 = 193,864,540.50/x
  3. Step 3: Cross multiply
    126,203,833.50x = 193,864,540.50 × 193,864,540.50
  4. Step 4: Simplify right side
    126,203,833.50x = 37,583,460,063,276,144
  5. Step 5: Solve for x
    x = 37,583,460,063,276,144/126,203,833.50
  6. Step 6: Final answer
    x = 297,799,670.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.