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Finding the Third Proportional to 205,213.50 and 288,228.38

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Solution

The third proportional to 205,213.50 and 288,228.38 is: 404,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.50 : 288,228.38 = 288,228.38 : x
  2. Step 2: Convert to fraction form
    205,213.50/288,228.38 = 288,228.38/x
  3. Step 3: Cross multiply
    205,213.50x = 288,228.38 × 288,228.38
  4. Step 4: Simplify right side
    205,213.50x = 83,075,596,155.14
  5. Step 5: Solve for x
    x = 83,075,596,155.14/205,213.50
  6. Step 6: Final answer
    x = 404,825.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.