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Finding the Third Proportional to 212,049 and 457,310

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Solution

The third proportional to 212,049 and 457,310 is: 986,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,049 : 457,310 = 457,310 : x
  2. Step 2: Convert to fraction form
    212,049/457,310 = 457,310/x
  3. Step 3: Cross multiply
    212,049x = 457,310 × 457,310
  4. Step 4: Simplify right side
    212,049x = 209,132,436,100
  5. Step 5: Solve for x
    x = 209,132,436,100/212,049
  6. Step 6: Final answer
    x = 986,245.80

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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.