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Finding the Third Proportional to 239,658 and 521,595

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Solution

The third proportional to 239,658 and 521,595 is: 1,135,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,658 : 521,595 = 521,595 : x
  2. Step 2: Convert to fraction form
    239,658/521,595 = 521,595/x
  3. Step 3: Cross multiply
    239,658x = 521,595 × 521,595
  4. Step 4: Simplify right side
    239,658x = 272,061,344,025
  5. Step 5: Solve for x
    x = 272,061,344,025/239,658
  6. Step 6: Final answer
    x = 1,135,206.60

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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.