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Finding the Third Proportional to 239,985.28 and 515,584.88

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Solution

The third proportional to 239,985.28 and 515,584.88 is: 1,107,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,985.28 : 515,584.88 = 515,584.88 : x
  2. Step 2: Convert to fraction form
    239,985.28/515,584.88 = 515,584.88/x
  3. Step 3: Cross multiply
    239,985.28x = 515,584.88 × 515,584.88
  4. Step 4: Simplify right side
    239,985.28x = 265,827,763,328.77
  5. Step 5: Solve for x
    x = 265,827,763,328.77/239,985.28
  6. Step 6: Final answer
    x = 1,107,683.61

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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.