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Finding the Third Proportional to 306,770 and 656,188

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Solution

The third proportional to 306,770 and 656,188 is: 1,403,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,770 : 656,188 = 656,188 : x
  2. Step 2: Convert to fraction form
    306,770/656,188 = 656,188/x
  3. Step 3: Cross multiply
    306,770x = 656,188 × 656,188
  4. Step 4: Simplify right side
    306,770x = 430,582,691,344
  5. Step 5: Solve for x
    x = 430,582,691,344/306,770
  6. Step 6: Final answer
    x = 1,403,601.04

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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.