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Finding the Third Proportional to 149,715 and 323,418

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Solution

The third proportional to 149,715 and 323,418 is: 698,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 323,418 = 323,418 : x
  2. Step 2: Convert to fraction form
    149,715/323,418 = 323,418/x
  3. Step 3: Cross multiply
    149,715x = 323,418 × 323,418
  4. Step 4: Simplify right side
    149,715x = 104,599,202,724
  5. Step 5: Solve for x
    x = 104,599,202,724/149,715
  6. Step 6: Final answer
    x = 698,655.46

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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.