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Finding the Third Proportional to 188,284 and 288,438

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Solution

The third proportional to 188,284 and 288,438 is: 441,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,284 : 288,438 = 288,438 : x
  2. Step 2: Convert to fraction form
    188,284/288,438 = 288,438/x
  3. Step 3: Cross multiply
    188,284x = 288,438 × 288,438
  4. Step 4: Simplify right side
    188,284x = 83,196,479,844
  5. Step 5: Solve for x
    x = 83,196,479,844/188,284
  6. Step 6: Final answer
    x = 441,866.97

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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.