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Finding the Third Proportional to 89,575 and 135,370

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Solution

The third proportional to 89,575 and 135,370 is: 204,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,575 : 135,370 = 135,370 : x
  2. Step 2: Convert to fraction form
    89,575/135,370 = 135,370/x
  3. Step 3: Cross multiply
    89,575x = 135,370 × 135,370
  4. Step 4: Simplify right side
    89,575x = 18,325,036,900
  5. Step 5: Solve for x
    x = 18,325,036,900/89,575
  6. Step 6: Final answer
    x = 204,577.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.