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Finding the Third Proportional to 64,087 and 135,558

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Solution

The third proportional to 64,087 and 135,558 is: 286,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,087 : 135,558 = 135,558 : x
  2. Step 2: Convert to fraction form
    64,087/135,558 = 135,558/x
  3. Step 3: Cross multiply
    64,087x = 135,558 × 135,558
  4. Step 4: Simplify right side
    64,087x = 18,375,971,364
  5. Step 5: Solve for x
    x = 18,375,971,364/64,087
  6. Step 6: Final answer
    x = 286,734.77

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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.