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Finding the Third Proportional to 214,396 and 315,170

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Solution

The third proportional to 214,396 and 315,170 is: 463,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,396 : 315,170 = 315,170 : x
  2. Step 2: Convert to fraction form
    214,396/315,170 = 315,170/x
  3. Step 3: Cross multiply
    214,396x = 315,170 × 315,170
  4. Step 4: Simplify right side
    214,396x = 99,332,128,900
  5. Step 5: Solve for x
    x = 99,332,128,900/214,396
  6. Step 6: Final answer
    x = 463,311.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.