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Finding the Third Proportional to 65,121 and 138,236

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Solution

The third proportional to 65,121 and 138,236 is: 293,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,121 : 138,236 = 138,236 : x
  2. Step 2: Convert to fraction form
    65,121/138,236 = 138,236/x
  3. Step 3: Cross multiply
    65,121x = 138,236 × 138,236
  4. Step 4: Simplify right side
    65,121x = 19,109,191,696
  5. Step 5: Solve for x
    x = 19,109,191,696/65,121
  6. Step 6: Final answer
    x = 293,441.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.