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Finding the Third Proportional to 239,808 and 521,928

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Solution

The third proportional to 239,808 and 521,928 is: 1,135,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,808 : 521,928 = 521,928 : x
  2. Step 2: Convert to fraction form
    239,808/521,928 = 521,928/x
  3. Step 3: Cross multiply
    239,808x = 521,928 × 521,928
  4. Step 4: Simplify right side
    239,808x = 272,408,837,184
  5. Step 5: Solve for x
    x = 272,408,837,184/239,808
  6. Step 6: Final answer
    x = 1,135,945.58

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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.