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Finding the Third Proportional to 59,603 and 135,887

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Solution

The third proportional to 59,603 and 135,887 is: 309,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,603 : 135,887 = 135,887 : x
  2. Step 2: Convert to fraction form
    59,603/135,887 = 135,887/x
  3. Step 3: Cross multiply
    59,603x = 135,887 × 135,887
  4. Step 4: Simplify right side
    59,603x = 18,465,276,769
  5. Step 5: Solve for x
    x = 18,465,276,769/59,603
  6. Step 6: Final answer
    x = 309,804.49

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.