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Finding the Third Proportional to 235,959 and 511,275

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Solution

The third proportional to 235,959 and 511,275 is: 1,107,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,959 : 511,275 = 511,275 : x
  2. Step 2: Convert to fraction form
    235,959/511,275 = 511,275/x
  3. Step 3: Cross multiply
    235,959x = 511,275 × 511,275
  4. Step 4: Simplify right side
    235,959x = 261,402,125,625
  5. Step 5: Solve for x
    x = 261,402,125,625/235,959
  6. Step 6: Final answer
    x = 1,107,828.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.