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Finding the Third Proportional to 205,798.50 and 450,949.50

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Solution

The third proportional to 205,798.50 and 450,949.50 is: 988,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,798.50 : 450,949.50 = 450,949.50 : x
  2. Step 2: Convert to fraction form
    205,798.50/450,949.50 = 450,949.50/x
  3. Step 3: Cross multiply
    205,798.50x = 450,949.50 × 450,949.50
  4. Step 4: Simplify right side
    205,798.50x = 203,355,451,550.25
  5. Step 5: Solve for x
    x = 203,355,451,550.25/205,798.50
  6. Step 6: Final answer
    x = 988,128.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.