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Finding the Third Proportional to 60,586 and 124,196

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Solution

The third proportional to 60,586 and 124,196 is: 254,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,586 : 124,196 = 124,196 : x
  2. Step 2: Convert to fraction form
    60,586/124,196 = 124,196/x
  3. Step 3: Cross multiply
    60,586x = 124,196 × 124,196
  4. Step 4: Simplify right side
    60,586x = 15,424,646,416
  5. Step 5: Solve for x
    x = 15,424,646,416/60,586
  6. Step 6: Final answer
    x = 254,590.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.