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Finding the Third Proportional to 99,190,665 and 213,580,818

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Solution

The third proportional to 99,190,665 and 213,580,818 is: 459,889,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,190,665 : 213,580,818 = 213,580,818 : x
  2. Step 2: Convert to fraction form
    99,190,665/213,580,818 = 213,580,818/x
  3. Step 3: Cross multiply
    99,190,665x = 213,580,818 × 213,580,818
  4. Step 4: Simplify right side
    99,190,665x = 45,616,765,817,549,120
  5. Step 5: Solve for x
    x = 45,616,765,817,549,120/99,190,665
  6. Step 6: Final answer
    x = 459,889,706.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.