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Finding the Third Proportional to 205,530,489 and 485,015,175

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Solution

The third proportional to 205,530,489 and 485,015,175 is: 1,144,549,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530,489 : 485,015,175 = 485,015,175 : x
  2. Step 2: Convert to fraction form
    205,530,489/485,015,175 = 485,015,175/x
  3. Step 3: Cross multiply
    205,530,489x = 485,015,175 × 485,015,175
  4. Step 4: Simplify right side
    205,530,489x = 235,239,719,980,280,640
  5. Step 5: Solve for x
    x = 235,239,719,980,280,640/205,530,489
  6. Step 6: Final answer
    x = 1,144,549,021.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.