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Finding the Third Proportional to 289,920.50 and 438,891

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Solution

The third proportional to 289,920.50 and 438,891 is: 664,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,920.50 : 438,891 = 438,891 : x
  2. Step 2: Convert to fraction form
    289,920.50/438,891 = 438,891/x
  3. Step 3: Cross multiply
    289,920.50x = 438,891 × 438,891
  4. Step 4: Simplify right side
    289,920.50x = 192,625,309,881
  5. Step 5: Solve for x
    x = 192,625,309,881/289,920.50
  6. Step 6: Final answer
    x = 664,407.35

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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.