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Finding the Third Proportional to 188,230 and 413,780

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Solution

The third proportional to 188,230 and 413,780 is: 909,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230 : 413,780 = 413,780 : x
  2. Step 2: Convert to fraction form
    188,230/413,780 = 413,780/x
  3. Step 3: Cross multiply
    188,230x = 413,780 × 413,780
  4. Step 4: Simplify right side
    188,230x = 171,213,888,400
  5. Step 5: Solve for x
    x = 171,213,888,400/188,230
  6. Step 6: Final answer
    x = 909,599.36

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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.