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Finding the Third Proportional to 235,779 and 515,538

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Solution

The third proportional to 235,779 and 515,538 is: 1,127,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,779 : 515,538 = 515,538 : x
  2. Step 2: Convert to fraction form
    235,779/515,538 = 515,538/x
  3. Step 3: Cross multiply
    235,779x = 515,538 × 515,538
  4. Step 4: Simplify right side
    235,779x = 265,779,429,444
  5. Step 5: Solve for x
    x = 265,779,429,444/235,779
  6. Step 6: Final answer
    x = 1,127,239.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.