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Finding the Third Proportional to 239,987 and 515,590

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Solution

The third proportional to 239,987 and 515,590 is: 1,107,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,987 : 515,590 = 515,590 : x
  2. Step 2: Convert to fraction form
    239,987/515,590 = 515,590/x
  3. Step 3: Cross multiply
    239,987x = 515,590 × 515,590
  4. Step 4: Simplify right side
    239,987x = 265,833,048,100
  5. Step 5: Solve for x
    x = 265,833,048,100/239,987
  6. Step 6: Final answer
    x = 1,107,697.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.