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Finding the Third Proportional to 239,208 and 515,280

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Solution

The third proportional to 239,208 and 515,280 is: 1,109,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,208 : 515,280 = 515,280 : x
  2. Step 2: Convert to fraction form
    239,208/515,280 = 515,280/x
  3. Step 3: Cross multiply
    239,208x = 515,280 × 515,280
  4. Step 4: Simplify right side
    239,208x = 265,513,478,400
  5. Step 5: Solve for x
    x = 265,513,478,400/239,208
  6. Step 6: Final answer
    x = 1,109,969.06

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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.