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Finding the Third Proportional to 149,406 and 321,468

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Solution

The third proportional to 149,406 and 321,468 is: 691,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406 : 321,468 = 321,468 : x
  2. Step 2: Convert to fraction form
    149,406/321,468 = 321,468/x
  3. Step 3: Cross multiply
    149,406x = 321,468 × 321,468
  4. Step 4: Simplify right side
    149,406x = 103,341,675,024
  5. Step 5: Solve for x
    x = 103,341,675,024/149,406
  6. Step 6: Final answer
    x = 691,683.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.