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Finding the Third Proportional to 235,780 and 515,540

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Solution

The third proportional to 235,780 and 515,540 is: 1,127,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,780 : 515,540 = 515,540 : x
  2. Step 2: Convert to fraction form
    235,780/515,540 = 515,540/x
  3. Step 3: Cross multiply
    235,780x = 515,540 × 515,540
  4. Step 4: Simplify right side
    235,780x = 265,781,491,600
  5. Step 5: Solve for x
    x = 265,781,491,600/235,780
  6. Step 6: Final answer
    x = 1,127,243.58

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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.