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Finding the Third Proportional to 306,874 and 656,392

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Solution

The third proportional to 306,874 and 656,392 is: 1,403,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,874 : 656,392 = 656,392 : x
  2. Step 2: Convert to fraction form
    306,874/656,392 = 656,392/x
  3. Step 3: Cross multiply
    306,874x = 656,392 × 656,392
  4. Step 4: Simplify right side
    306,874x = 430,850,457,664
  5. Step 5: Solve for x
    x = 430,850,457,664/306,874
  6. Step 6: Final answer
    x = 1,403,997.92

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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.