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Finding the Third Proportional to 100,303,900 and 138,597,208

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Solution

The third proportional to 100,303,900 and 138,597,208 is: 191,509,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303,900 : 138,597,208 = 138,597,208 : x
  2. Step 2: Convert to fraction form
    100,303,900/138,597,208 = 138,597,208/x
  3. Step 3: Cross multiply
    100,303,900x = 138,597,208 × 138,597,208
  4. Step 4: Simplify right side
    100,303,900x = 19,209,186,065,395,264
  5. Step 5: Solve for x
    x = 19,209,186,065,395,264/100,303,900
  6. Step 6: Final answer
    x = 191,509,862.18

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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.