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Finding the Third Proportional to 188,298 and 413,919

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Solution

The third proportional to 188,298 and 413,919 is: 909,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,298 : 413,919 = 413,919 : x
  2. Step 2: Convert to fraction form
    188,298/413,919 = 413,919/x
  3. Step 3: Cross multiply
    188,298x = 413,919 × 413,919
  4. Step 4: Simplify right side
    188,298x = 171,328,938,561
  5. Step 5: Solve for x
    x = 171,328,938,561/188,298
  6. Step 6: Final answer
    x = 909,881.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.