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Finding the Third Proportional to 306,827 and 656,302

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Solution

The third proportional to 306,827 and 656,302 is: 1,403,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,827 : 656,302 = 656,302 : x
  2. Step 2: Convert to fraction form
    306,827/656,302 = 656,302/x
  3. Step 3: Cross multiply
    306,827x = 656,302 × 656,302
  4. Step 4: Simplify right side
    306,827x = 430,732,315,204
  5. Step 5: Solve for x
    x = 430,732,315,204/306,827
  6. Step 6: Final answer
    x = 1,403,827.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.