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Finding the Third Proportional to 188,738 and 289,660

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Solution

The third proportional to 188,738 and 289,660 is: 444,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,738 : 289,660 = 289,660 : x
  2. Step 2: Convert to fraction form
    188,738/289,660 = 289,660/x
  3. Step 3: Cross multiply
    188,738x = 289,660 × 289,660
  4. Step 4: Simplify right side
    188,738x = 83,902,915,600
  5. Step 5: Solve for x
    x = 83,902,915,600/188,738
  6. Step 6: Final answer
    x = 444,547.02

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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.