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Finding the Third Proportional to 201,210.75 and 321,499.13

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Solution

The third proportional to 201,210.75 and 321,499.13 is: 513,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210.75 : 321,499.13 = 321,499.13 : x
  2. Step 2: Convert to fraction form
    201,210.75/321,499.13 = 321,499.13/x
  3. Step 3: Cross multiply
    201,210.75x = 321,499.13 × 321,499.13
  4. Step 4: Simplify right side
    201,210.75x = 103,361,687,375.77
  5. Step 5: Solve for x
    x = 103,361,687,375.77/201,210.75
  6. Step 6: Final answer
    x = 513,698.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.