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Finding the Third Proportional to 306,376 and 449,263

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Solution

The third proportional to 306,376 and 449,263 is: 658,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,376 : 449,263 = 449,263 : x
  2. Step 2: Convert to fraction form
    306,376/449,263 = 449,263/x
  3. Step 3: Cross multiply
    306,376x = 449,263 × 449,263
  4. Step 4: Simplify right side
    306,376x = 201,837,243,169
  5. Step 5: Solve for x
    x = 201,837,243,169/306,376
  6. Step 6: Final answer
    x = 658,789.34

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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.