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Finding the Third Proportional to 204,108.75 and 321,815.25

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Solution

The third proportional to 204,108.75 and 321,815.25 is: 507,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,108.75 : 321,815.25 = 321,815.25 : x
  2. Step 2: Convert to fraction form
    204,108.75/321,815.25 = 321,815.25/x
  3. Step 3: Cross multiply
    204,108.75x = 321,815.25 × 321,815.25
  4. Step 4: Simplify right side
    204,108.75x = 103,565,055,132.56
  5. Step 5: Solve for x
    x = 103,565,055,132.56/204,108.75
  6. Step 6: Final answer
    x = 507,401.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.