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Finding the Third Proportional to 100,886,665 and 209,825,112

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Solution

The third proportional to 100,886,665 and 209,825,112 is: 436,396,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,886,665 : 209,825,112 = 209,825,112 : x
  2. Step 2: Convert to fraction form
    100,886,665/209,825,112 = 209,825,112/x
  3. Step 3: Cross multiply
    100,886,665x = 209,825,112 × 209,825,112
  4. Step 4: Simplify right side
    100,886,665x = 44,026,577,625,812,544
  5. Step 5: Solve for x
    x = 44,026,577,625,812,544/100,886,665
  6. Step 6: Final answer
    x = 436,396,402.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.