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Finding the Third Proportional to 65,660.63 and 136,971

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Solution

The third proportional to 65,660.63 and 136,971 is: 285,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,660.63 : 136,971 = 136,971 : x
  2. Step 2: Convert to fraction form
    65,660.63/136,971 = 136,971/x
  3. Step 3: Cross multiply
    65,660.63x = 136,971 × 136,971
  4. Step 4: Simplify right side
    65,660.63x = 18,761,054,841
  5. Step 5: Solve for x
    x = 18,761,054,841/65,660.63
  6. Step 6: Final answer
    x = 285,727.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.