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Finding the Third Proportional to 99,190,656 and 213,580,800

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Solution

The third proportional to 99,190,656 and 213,580,800 is: 459,889,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,190,656 : 213,580,800 = 213,580,800 : x
  2. Step 2: Convert to fraction form
    99,190,656/213,580,800 = 213,580,800/x
  3. Step 3: Cross multiply
    99,190,656x = 213,580,800 × 213,580,800
  4. Step 4: Simplify right side
    99,190,656x = 45,616,758,128,640,000
  5. Step 5: Solve for x
    x = 45,616,758,128,640,000/99,190,656
  6. Step 6: Final answer
    x = 459,889,670.74

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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.