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Finding the Third Proportional to 100,303,874 and 138,597,167.50

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Solution

The third proportional to 100,303,874 and 138,597,167.50 is: 191,509,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303,874 : 138,597,167.50 = 138,597,167.50 : x
  2. Step 2: Convert to fraction form
    100,303,874/138,597,167.50 = 138,597,167.50/x
  3. Step 3: Cross multiply
    100,303,874x = 138,597,167.50 × 138,597,167.50
  4. Step 4: Simplify right side
    100,303,874x = 19,209,174,839,023,056
  5. Step 5: Solve for x
    x = 19,209,174,839,023,056/100,303,874
  6. Step 6: Final answer
    x = 191,509,799.90

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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.