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Finding the Third Proportional to 239,985.75 and 515,586

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Solution

The third proportional to 239,985.75 and 515,586 is: 1,107,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,985.75 : 515,586 = 515,586 : x
  2. Step 2: Convert to fraction form
    239,985.75/515,586 = 515,586/x
  3. Step 3: Cross multiply
    239,985.75x = 515,586 × 515,586
  4. Step 4: Simplify right side
    239,985.75x = 265,828,923,396
  5. Step 5: Solve for x
    x = 265,828,923,396/239,985.75
  6. Step 6: Final answer
    x = 1,107,686.28

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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.