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Finding the Third Proportional to 235,778 and 515,536

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Solution

The third proportional to 235,778 and 515,536 is: 1,127,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778 : 515,536 = 515,536 : x
  2. Step 2: Convert to fraction form
    235,778/515,536 = 515,536/x
  3. Step 3: Cross multiply
    235,778x = 515,536 × 515,536
  4. Step 4: Simplify right side
    235,778x = 265,777,367,296
  5. Step 5: Solve for x
    x = 265,777,367,296/235,778
  6. Step 6: Final answer
    x = 1,127,235.65

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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.