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Finding the Third Proportional to 235,959 and 513,384

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Solution

The third proportional to 235,959 and 513,384 is: 1,116,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,959 : 513,384 = 513,384 : x
  2. Step 2: Convert to fraction form
    235,959/513,384 = 513,384/x
  3. Step 3: Cross multiply
    235,959x = 513,384 × 513,384
  4. Step 4: Simplify right side
    235,959x = 263,563,131,456
  5. Step 5: Solve for x
    x = 263,563,131,456/235,959
  6. Step 6: Final answer
    x = 1,116,986.98

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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.