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Finding the Third Proportional to 216,252,119 and 471,800,856

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Solution

The third proportional to 216,252,119 and 471,800,856 is: 1,029,335,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,252,119 : 471,800,856 = 471,800,856 : x
  2. Step 2: Convert to fraction form
    216,252,119/471,800,856 = 471,800,856/x
  3. Step 3: Cross multiply
    216,252,119x = 471,800,856 × 471,800,856
  4. Step 4: Simplify right side
    216,252,119x = 222,596,047,722,332,736
  5. Step 5: Solve for x
    x = 222,596,047,722,332,736/216,252,119
  6. Step 6: Final answer
    x = 1,029,335,799.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.