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Finding the Third Proportional to 65,603 and 135,875

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Solution

The third proportional to 65,603 and 135,875 is: 281,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,603 : 135,875 = 135,875 : x
  2. Step 2: Convert to fraction form
    65,603/135,875 = 135,875/x
  3. Step 3: Cross multiply
    65,603x = 135,875 × 135,875
  4. Step 4: Simplify right side
    65,603x = 18,462,015,625
  5. Step 5: Solve for x
    x = 18,462,015,625/65,603
  6. Step 6: Final answer
    x = 281,420.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.