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Finding the Third Proportional to 222,339,640.50 and 482,953,795.88

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Solution

The third proportional to 222,339,640.50 and 482,953,795.88 is: 1,049,045,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,339,640.50 : 482,953,795.88 = 482,953,795.88 : x
  2. Step 2: Convert to fraction form
    222,339,640.50/482,953,795.88 = 482,953,795.88/x
  3. Step 3: Cross multiply
    222,339,640.50x = 482,953,795.88 × 482,953,795.88
  4. Step 4: Simplify right side
    222,339,640.50x = 233,244,368,950,071,168
  5. Step 5: Solve for x
    x = 233,244,368,950,071,168/222,339,640.50
  6. Step 6: Final answer
    x = 1,049,045,363.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.