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Finding the Third Proportional to 340,279 and 522,316

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Solution

The third proportional to 340,279 and 522,316 is: 801,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,279 : 522,316 = 522,316 : x
  2. Step 2: Convert to fraction form
    340,279/522,316 = 522,316/x
  3. Step 3: Cross multiply
    340,279x = 522,316 × 522,316
  4. Step 4: Simplify right side
    340,279x = 272,814,003,856
  5. Step 5: Solve for x
    x = 272,814,003,856/340,279
  6. Step 6: Final answer
    x = 801,736.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.