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Finding the Third Proportional to 239,064 and 515,013

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Solution

The third proportional to 239,064 and 515,013 is: 1,109,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,064 : 515,013 = 515,013 : x
  2. Step 2: Convert to fraction form
    239,064/515,013 = 515,013/x
  3. Step 3: Cross multiply
    239,064x = 515,013 × 515,013
  4. Step 4: Simplify right side
    239,064x = 265,238,390,169
  5. Step 5: Solve for x
    x = 265,238,390,169/239,064
  6. Step 6: Final answer
    x = 1,109,486.96

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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.