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Finding the Third Proportional to 111,121,210 and 239,309,740

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Solution

The third proportional to 111,121,210 and 239,309,740 is: 515,375,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,121,210 : 239,309,740 = 239,309,740 : x
  2. Step 2: Convert to fraction form
    111,121,210/239,309,740 = 239,309,740/x
  3. Step 3: Cross multiply
    111,121,210x = 239,309,740 × 239,309,740
  4. Step 4: Simplify right side
    111,121,210x = 57,269,151,658,867,600
  5. Step 5: Solve for x
    x = 57,269,151,658,867,600/111,121,210
  6. Step 6: Final answer
    x = 515,375,522.45

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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.