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Finding the Third Proportional to 214,313 and 323,414

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Solution

The third proportional to 214,313 and 323,414 is: 488,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,313 : 323,414 = 323,414 : x
  2. Step 2: Convert to fraction form
    214,313/323,414 = 323,414/x
  3. Step 3: Cross multiply
    214,313x = 323,414 × 323,414
  4. Step 4: Simplify right side
    214,313x = 104,596,615,396
  5. Step 5: Solve for x
    x = 104,596,615,396/214,313
  6. Step 6: Final answer
    x = 488,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.