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Finding the Third Proportional to 253,809 and 551,358

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Solution

The third proportional to 253,809 and 551,358 is: 1,197,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,809 : 551,358 = 551,358 : x
  2. Step 2: Convert to fraction form
    253,809/551,358 = 551,358/x
  3. Step 3: Cross multiply
    253,809x = 551,358 × 551,358
  4. Step 4: Simplify right side
    253,809x = 303,995,644,164
  5. Step 5: Solve for x
    x = 303,995,644,164/253,809
  6. Step 6: Final answer
    x = 1,197,733.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.