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Finding the Third Proportional to 126,450,100,602 and 274,939,282,548

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Solution

The third proportional to 126,450,100,602 and 274,939,282,548 is: 597,797,935,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,450,100,602 : 274,939,282,548 = 274,939,282,548 : x
  2. Step 2: Convert to fraction form
    126,450,100,602/274,939,282,548 = 274,939,282,548/x
  3. Step 3: Cross multiply
    126,450,100,602x = 274,939,282,548 × 274,939,282,548
  4. Step 4: Simplify right side
    126,450,100,602x = 75,591,609,088,008,981,053,440
  5. Step 5: Solve for x
    x = 75,591,609,088,008,981,053,440/126,450,100,602
  6. Step 6: Final answer
    x = 597,797,935,534.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.