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Finding the Third Proportional to 212,132 and 457,457

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Solution

The third proportional to 212,132 and 457,457 is: 986,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,132 : 457,457 = 457,457 : x
  2. Step 2: Convert to fraction form
    212,132/457,457 = 457,457/x
  3. Step 3: Cross multiply
    212,132x = 457,457 × 457,457
  4. Step 4: Simplify right side
    212,132x = 209,266,906,849
  5. Step 5: Solve for x
    x = 209,266,906,849/212,132
  6. Step 6: Final answer
    x = 986,493.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.