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Finding the Third Proportional to 306,876 and 656,396

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Solution

The third proportional to 306,876 and 656,396 is: 1,404,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,876 : 656,396 = 656,396 : x
  2. Step 2: Convert to fraction form
    306,876/656,396 = 656,396/x
  3. Step 3: Cross multiply
    306,876x = 656,396 × 656,396
  4. Step 4: Simplify right side
    306,876x = 430,855,708,816
  5. Step 5: Solve for x
    x = 430,855,708,816/306,876
  6. Step 6: Final answer
    x = 1,404,005.88

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