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Finding the Third Proportional to 251,031 and 551,655

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Solution

The third proportional to 251,031 and 551,655 is: 1,212,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,031 : 551,655 = 551,655 : x
  2. Step 2: Convert to fraction form
    251,031/551,655 = 551,655/x
  3. Step 3: Cross multiply
    251,031x = 551,655 × 551,655
  4. Step 4: Simplify right side
    251,031x = 304,323,239,025
  5. Step 5: Solve for x
    x = 304,323,239,025/251,031
  6. Step 6: Final answer
    x = 1,212,293.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.