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Finding the Third Proportional to 38,600 and 84,490

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Solution

The third proportional to 38,600 and 84,490 is: 184,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600 : 84,490 = 84,490 : x
  2. Step 2: Convert to fraction form
    38,600/84,490 = 84,490/x
  3. Step 3: Cross multiply
    38,600x = 84,490 × 84,490
  4. Step 4: Simplify right side
    38,600x = 7,138,560,100
  5. Step 5: Solve for x
    x = 7,138,560,100/38,600
  6. Step 6: Final answer
    x = 184,936.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.