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Finding the Third Proportional to 239,070 and 515,025

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Solution

The third proportional to 239,070 and 515,025 is: 1,109,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,070 : 515,025 = 515,025 : x
  2. Step 2: Convert to fraction form
    239,070/515,025 = 515,025/x
  3. Step 3: Cross multiply
    239,070x = 515,025 × 515,025
  4. Step 4: Simplify right side
    239,070x = 265,250,750,625
  5. Step 5: Solve for x
    x = 265,250,750,625/239,070
  6. Step 6: Final answer
    x = 1,109,510.82

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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.