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Finding the Third Proportional to 99,948,976.88 and 222,866,436.94

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Solution

The third proportional to 99,948,976.88 and 222,866,436.94 is: 496,948,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,948,976.88 : 222,866,436.94 = 222,866,436.94 : x
  2. Step 2: Convert to fraction form
    99,948,976.88/222,866,436.94 = 222,866,436.94/x
  3. Step 3: Cross multiply
    99,948,976.88x = 222,866,436.94 × 222,866,436.94
  4. Step 4: Simplify right side
    99,948,976.88x = 49,669,448,713,216,664
  5. Step 5: Solve for x
    x = 49,669,448,713,216,664/99,948,976.88
  6. Step 6: Final answer
    x = 496,948,045.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.