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Finding the Third Proportional to 239,232 and 515,328

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Solution

The third proportional to 239,232 and 515,328 is: 1,110,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,232 : 515,328 = 515,328 : x
  2. Step 2: Convert to fraction form
    239,232/515,328 = 515,328/x
  3. Step 3: Cross multiply
    239,232x = 515,328 × 515,328
  4. Step 4: Simplify right side
    239,232x = 265,562,947,584
  5. Step 5: Solve for x
    x = 265,562,947,584/239,232
  6. Step 6: Final answer
    x = 1,110,064.49

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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.