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Finding the Third Proportional to 214,801 and 315,625

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Solution

The third proportional to 214,801 and 315,625 is: 463,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,801 : 315,625 = 315,625 : x
  2. Step 2: Convert to fraction form
    214,801/315,625 = 315,625/x
  3. Step 3: Cross multiply
    214,801x = 315,625 × 315,625
  4. Step 4: Simplify right side
    214,801x = 99,619,140,625
  5. Step 5: Solve for x
    x = 99,619,140,625/214,801
  6. Step 6: Final answer
    x = 463,774.10

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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.