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Finding the Third Proportional to 239,692 and 521,648

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Solution

The third proportional to 239,692 and 521,648 is: 1,135,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,692 : 521,648 = 521,648 : x
  2. Step 2: Convert to fraction form
    239,692/521,648 = 521,648/x
  3. Step 3: Cross multiply
    239,692x = 521,648 × 521,648
  4. Step 4: Simplify right side
    239,692x = 272,116,635,904
  5. Step 5: Solve for x
    x = 272,116,635,904/239,692
  6. Step 6: Final answer
    x = 1,135,276.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.