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Finding the Third Proportional to 263,222,976 and 420,339,744

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Solution

The third proportional to 263,222,976 and 420,339,744 is: 671,238,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,222,976 : 420,339,744 = 420,339,744 : x
  2. Step 2: Convert to fraction form
    263,222,976/420,339,744 = 420,339,744/x
  3. Step 3: Cross multiply
    263,222,976x = 420,339,744 × 420,339,744
  4. Step 4: Simplify right side
    263,222,976x = 176,685,500,385,985,536
  5. Step 5: Solve for x
    x = 176,685,500,385,985,536/263,222,976
  6. Step 6: Final answer
    x = 671,238,898.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.