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Finding the Third Proportional to 149,720 and 323,427

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Solution

The third proportional to 149,720 and 323,427 is: 698,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,720 : 323,427 = 323,427 : x
  2. Step 2: Convert to fraction form
    149,720/323,427 = 323,427/x
  3. Step 3: Cross multiply
    149,720x = 323,427 × 323,427
  4. Step 4: Simplify right side
    149,720x = 104,605,024,329
  5. Step 5: Solve for x
    x = 104,605,024,329/149,720
  6. Step 6: Final answer
    x = 698,671.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.