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Finding the Third Proportional to 100,303,908 and 138,597,220

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Solution

The third proportional to 100,303,908 and 138,597,220 is: 191,509,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303,908 : 138,597,220 = 138,597,220 : x
  2. Step 2: Convert to fraction form
    100,303,908/138,597,220 = 138,597,220/x
  3. Step 3: Cross multiply
    100,303,908x = 138,597,220 × 138,597,220
  4. Step 4: Simplify right side
    100,303,908x = 19,209,189,391,728,400
  5. Step 5: Solve for x
    x = 19,209,189,391,728,400/100,303,908
  6. Step 6: Final answer
    x = 191,509,880.07

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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.