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Finding the Third Proportional to 303,020 and 656,188

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Solution

The third proportional to 303,020 and 656,188 is: 1,420,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,020 : 656,188 = 656,188 : x
  2. Step 2: Convert to fraction form
    303,020/656,188 = 656,188/x
  3. Step 3: Cross multiply
    303,020x = 656,188 × 656,188
  4. Step 4: Simplify right side
    303,020x = 430,582,691,344
  5. Step 5: Solve for x
    x = 430,582,691,344/303,020
  6. Step 6: Final answer
    x = 1,420,971.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.