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Finding the Third Proportional to 138,562,815 and 193,718,983.50

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Solution

The third proportional to 138,562,815 and 193,718,983.50 is: 270,830,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562,815 : 193,718,983.50 = 193,718,983.50 : x
  2. Step 2: Convert to fraction form
    138,562,815/193,718,983.50 = 193,718,983.50/x
  3. Step 3: Cross multiply
    138,562,815x = 193,718,983.50 × 193,718,983.50
  4. Step 4: Simplify right side
    138,562,815x = 37,527,044,568,273,272
  5. Step 5: Solve for x
    x = 37,527,044,568,273,272/138,562,815
  6. Step 6: Final answer
    x = 270,830,558.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.