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Finding the Third Proportional to 126,202,118.50 and 188,798,686.50

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Solution

The third proportional to 126,202,118.50 and 188,798,686.50 is: 282,443,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,202,118.50 : 188,798,686.50 = 188,798,686.50 : x
  2. Step 2: Convert to fraction form
    126,202,118.50/188,798,686.50 = 188,798,686.50/x
  3. Step 3: Cross multiply
    126,202,118.50x = 188,798,686.50 × 188,798,686.50
  4. Step 4: Simplify right side
    126,202,118.50x = 35,644,944,024,125,284
  5. Step 5: Solve for x
    x = 35,644,944,024,125,284/126,202,118.50
  6. Step 6: Final answer
    x = 282,443,309.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.