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Finding the Third Proportional to 138,562,816 and 193,718,983

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Solution

The third proportional to 138,562,816 and 193,718,983 is: 270,830,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562,816 : 193,718,983 = 193,718,983 : x
  2. Step 2: Convert to fraction form
    138,562,816/193,718,983 = 193,718,983/x
  3. Step 3: Cross multiply
    138,562,816x = 193,718,983 × 193,718,983
  4. Step 4: Simplify right side
    138,562,816x = 37,527,044,374,554,288
  5. Step 5: Solve for x
    x = 37,527,044,374,554,288/138,562,816
  6. Step 6: Final answer
    x = 270,830,555.11

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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.