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Finding the Third Proportional to 149,559 and 322,599

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Solution

The third proportional to 149,559 and 322,599 is: 695,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,559 : 322,599 = 322,599 : x
  2. Step 2: Convert to fraction form
    149,559/322,599 = 322,599/x
  3. Step 3: Cross multiply
    149,559x = 322,599 × 322,599
  4. Step 4: Simplify right side
    149,559x = 104,070,114,801
  5. Step 5: Solve for x
    x = 104,070,114,801/149,559
  6. Step 6: Final answer
    x = 695,846.55

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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.