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Finding the Third Proportional to 239,307 and 522,080

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Solution

The third proportional to 239,307 and 522,080 is: 1,138,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,307 : 522,080 = 522,080 : x
  2. Step 2: Convert to fraction form
    239,307/522,080 = 522,080/x
  3. Step 3: Cross multiply
    239,307x = 522,080 × 522,080
  4. Step 4: Simplify right side
    239,307x = 272,567,526,400
  5. Step 5: Solve for x
    x = 272,567,526,400/239,307
  6. Step 6: Final answer
    x = 1,138,986.85

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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.