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Finding the Third Proportional to 214,380 and 457,238

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Solution

The third proportional to 214,380 and 457,238 is: 975,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,380 : 457,238 = 457,238 : x
  2. Step 2: Convert to fraction form
    214,380/457,238 = 457,238/x
  3. Step 3: Cross multiply
    214,380x = 457,238 × 457,238
  4. Step 4: Simplify right side
    214,380x = 209,066,588,644
  5. Step 5: Solve for x
    x = 209,066,588,644/214,380
  6. Step 6: Final answer
    x = 975,214.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.