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Finding the Third Proportional to 136,100 and 290,254

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Solution

The third proportional to 136,100 and 290,254 is: 619,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,100 : 290,254 = 290,254 : x
  2. Step 2: Convert to fraction form
    136,100/290,254 = 290,254/x
  3. Step 3: Cross multiply
    136,100x = 290,254 × 290,254
  4. Step 4: Simplify right side
    136,100x = 84,247,384,516
  5. Step 5: Solve for x
    x = 84,247,384,516/136,100
  6. Step 6: Final answer
    x = 619,010.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.