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Finding the Third Proportional to 130,284 and 206,469

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Solution

The third proportional to 130,284 and 206,469 is: 327,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284 : 206,469 = 206,469 : x
  2. Step 2: Convert to fraction form
    130,284/206,469 = 206,469/x
  3. Step 3: Cross multiply
    130,284x = 206,469 × 206,469
  4. Step 4: Simplify right side
    130,284x = 42,629,447,961
  5. Step 5: Solve for x
    x = 42,629,447,961/130,284
  6. Step 6: Final answer
    x = 327,204.02

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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.