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Finding the Third Proportional to 289,919.25 and 438,889.22

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Solution

The third proportional to 289,919.25 and 438,889.22 is: 664,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,919.25 : 438,889.22 = 438,889.22 : x
  2. Step 2: Convert to fraction form
    289,919.25/438,889.22 = 438,889.22/x
  3. Step 3: Cross multiply
    289,919.25x = 438,889.22 × 438,889.22
  4. Step 4: Simplify right side
    289,919.25x = 192,623,746,334.99
  5. Step 5: Solve for x
    x = 192,623,746,334.99/289,919.25
  6. Step 6: Final answer
    x = 664,404.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.