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Finding the Third Proportional to 188,772 and 289,722

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Solution

The third proportional to 188,772 and 289,722 is: 444,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,772 : 289,722 = 289,722 : x
  2. Step 2: Convert to fraction form
    188,772/289,722 = 289,722/x
  3. Step 3: Cross multiply
    188,772x = 289,722 × 289,722
  4. Step 4: Simplify right side
    188,772x = 83,938,837,284
  5. Step 5: Solve for x
    x = 83,938,837,284/188,772
  6. Step 6: Final answer
    x = 444,657.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.