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Finding the Third Proportional to 299,097 and 656,309

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Solution

The third proportional to 299,097 and 656,309 is: 1,440,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,097 : 656,309 = 656,309 : x
  2. Step 2: Convert to fraction form
    299,097/656,309 = 656,309/x
  3. Step 3: Cross multiply
    299,097x = 656,309 × 656,309
  4. Step 4: Simplify right side
    299,097x = 430,741,503,481
  5. Step 5: Solve for x
    x = 430,741,503,481/299,097
  6. Step 6: Final answer
    x = 1,440,139.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.