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Finding the Third Proportional to 188,278 and 413,871

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Solution

The third proportional to 188,278 and 413,871 is: 909,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,278 : 413,871 = 413,871 : x
  2. Step 2: Convert to fraction form
    188,278/413,871 = 413,871/x
  3. Step 3: Cross multiply
    188,278x = 413,871 × 413,871
  4. Step 4: Simplify right side
    188,278x = 171,289,204,641
  5. Step 5: Solve for x
    x = 171,289,204,641/188,278
  6. Step 6: Final answer
    x = 909,767.50

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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.