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Finding the Third Proportional to 239,275 and 525,721

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Solution

The third proportional to 239,275 and 525,721 is: 1,155,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,275 : 525,721 = 525,721 : x
  2. Step 2: Convert to fraction form
    239,275/525,721 = 525,721/x
  3. Step 3: Cross multiply
    239,275x = 525,721 × 525,721
  4. Step 4: Simplify right side
    239,275x = 276,382,569,841
  5. Step 5: Solve for x
    x = 276,382,569,841/239,275
  6. Step 6: Final answer
    x = 1,155,083.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.