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Finding the Third Proportional to 104,366.25 and 223,490.25

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Solution

The third proportional to 104,366.25 and 223,490.25 is: 478,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,366.25 : 223,490.25 = 223,490.25 : x
  2. Step 2: Convert to fraction form
    104,366.25/223,490.25 = 223,490.25/x
  3. Step 3: Cross multiply
    104,366.25x = 223,490.25 × 223,490.25
  4. Step 4: Simplify right side
    104,366.25x = 49,947,891,845.06
  5. Step 5: Solve for x
    x = 49,947,891,845.06/104,366.25
  6. Step 6: Final answer
    x = 478,582.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.