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Finding the Third Proportional to 63,298 and 135,068

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Solution

The third proportional to 63,298 and 135,068 is: 288,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,298 : 135,068 = 135,068 : x
  2. Step 2: Convert to fraction form
    63,298/135,068 = 135,068/x
  3. Step 3: Cross multiply
    63,298x = 135,068 × 135,068
  4. Step 4: Simplify right side
    63,298x = 18,243,364,624
  5. Step 5: Solve for x
    x = 18,243,364,624/63,298
  6. Step 6: Final answer
    x = 288,213.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.