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Finding the Third Proportional to 130,291 and 206,477

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Solution

The third proportional to 130,291 and 206,477 is: 327,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,291 : 206,477 = 206,477 : x
  2. Step 2: Convert to fraction form
    130,291/206,477 = 206,477/x
  3. Step 3: Cross multiply
    130,291x = 206,477 × 206,477
  4. Step 4: Simplify right side
    130,291x = 42,632,751,529
  5. Step 5: Solve for x
    x = 42,632,751,529/130,291
  6. Step 6: Final answer
    x = 327,211.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.