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Finding the Third Proportional to 281,357 and 650,781

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Solution

The third proportional to 281,357 and 650,781 is: 1,505,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,357 : 650,781 = 650,781 : x
  2. Step 2: Convert to fraction form
    281,357/650,781 = 650,781/x
  3. Step 3: Cross multiply
    281,357x = 650,781 × 650,781
  4. Step 4: Simplify right side
    281,357x = 423,515,909,961
  5. Step 5: Solve for x
    x = 423,515,909,961/281,357
  6. Step 6: Final answer
    x = 1,505,261.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.