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Finding the Third Proportional to 205,535.25 and 448,323.75

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Solution

The third proportional to 205,535.25 and 448,323.75 is: 977,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,535.25 : 448,323.75 = 448,323.75 : x
  2. Step 2: Convert to fraction form
    205,535.25/448,323.75 = 448,323.75/x
  3. Step 3: Cross multiply
    205,535.25x = 448,323.75 × 448,323.75
  4. Step 4: Simplify right side
    205,535.25x = 200,994,184,814.06
  5. Step 5: Solve for x
    x = 200,994,184,814.06/205,535.25
  6. Step 6: Final answer
    x = 977,906.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.