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Finding the Third Proportional to 239,690 and 521,644

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Solution

The third proportional to 239,690 and 521,644 is: 1,135,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,690 : 521,644 = 521,644 : x
  2. Step 2: Convert to fraction form
    239,690/521,644 = 521,644/x
  3. Step 3: Cross multiply
    239,690x = 521,644 × 521,644
  4. Step 4: Simplify right side
    239,690x = 272,112,462,736
  5. Step 5: Solve for x
    x = 272,112,462,736/239,690
  6. Step 6: Final answer
    x = 1,135,268.32

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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.