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Finding the Third Proportional to 136,427 and 321,598

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Solution

The third proportional to 136,427 and 321,598 is: 758,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,427 : 321,598 = 321,598 : x
  2. Step 2: Convert to fraction form
    136,427/321,598 = 321,598/x
  3. Step 3: Cross multiply
    136,427x = 321,598 × 321,598
  4. Step 4: Simplify right side
    136,427x = 103,425,273,604
  5. Step 5: Solve for x
    x = 103,425,273,604/136,427
  6. Step 6: Final answer
    x = 758,099.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.