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Finding the Third Proportional to 289,920 and 438,890.25

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Solution

The third proportional to 289,920 and 438,890.25 is: 664,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,920 : 438,890.25 = 438,890.25 : x
  2. Step 2: Convert to fraction form
    289,920/438,890.25 = 438,890.25/x
  3. Step 3: Cross multiply
    289,920x = 438,890.25 × 438,890.25
  4. Step 4: Simplify right side
    289,920x = 192,624,651,545.06
  5. Step 5: Solve for x
    x = 192,624,651,545.06/289,920
  6. Step 6: Final answer
    x = 664,406.22

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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.