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Finding the Third Proportional to 49,610 and 103,232

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Solution

The third proportional to 49,610 and 103,232 is: 214,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,610 : 103,232 = 103,232 : x
  2. Step 2: Convert to fraction form
    49,610/103,232 = 103,232/x
  3. Step 3: Cross multiply
    49,610x = 103,232 × 103,232
  4. Step 4: Simplify right side
    49,610x = 10,656,845,824
  5. Step 5: Solve for x
    x = 10,656,845,824/49,610
  6. Step 6: Final answer
    x = 214,812.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.