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Finding the Third Proportional to 239,079 and 502,638

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Solution

The third proportional to 239,079 and 502,638 is: 1,056,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,079 : 502,638 = 502,638 : x
  2. Step 2: Convert to fraction form
    239,079/502,638 = 502,638/x
  3. Step 3: Cross multiply
    239,079x = 502,638 × 502,638
  4. Step 4: Simplify right side
    239,079x = 252,644,959,044
  5. Step 5: Solve for x
    x = 252,644,959,044/239,079
  6. Step 6: Final answer
    x = 1,056,742.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.