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Finding the Third Proportional to 209,000 and 323,724

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Solution

The third proportional to 209,000 and 323,724 is: 501,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,000 : 323,724 = 323,724 : x
  2. Step 2: Convert to fraction form
    209,000/323,724 = 323,724/x
  3. Step 3: Cross multiply
    209,000x = 323,724 × 323,724
  4. Step 4: Simplify right side
    209,000x = 104,797,228,176
  5. Step 5: Solve for x
    x = 104,797,228,176/209,000
  6. Step 6: Final answer
    x = 501,422.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.