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Finding the Third Proportional to 205,180.50 and 315,182.50

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Solution

The third proportional to 205,180.50 and 315,182.50 is: 484,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,180.50 : 315,182.50 = 315,182.50 : x
  2. Step 2: Convert to fraction form
    205,180.50/315,182.50 = 315,182.50/x
  3. Step 3: Cross multiply
    205,180.50x = 315,182.50 × 315,182.50
  4. Step 4: Simplify right side
    205,180.50x = 99,340,008,306.25
  5. Step 5: Solve for x
    x = 99,340,008,306.25/205,180.50
  6. Step 6: Final answer
    x = 484,159.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.