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Finding the Third Proportional to 100,303,860 and 138,597,138

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Solution

The third proportional to 100,303,860 and 138,597,138 is: 191,509,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303,860 : 138,597,138 = 138,597,138 : x
  2. Step 2: Convert to fraction form
    100,303,860/138,597,138 = 138,597,138/x
  3. Step 3: Cross multiply
    100,303,860x = 138,597,138 × 138,597,138
  4. Step 4: Simplify right side
    100,303,860x = 19,209,166,661,791,044
  5. Step 5: Solve for x
    x = 19,209,166,661,791,044/100,303,860
  6. Step 6: Final answer
    x = 191,509,745.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.