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Finding the Third Proportional to 135,258 and 210,271

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Solution

The third proportional to 135,258 and 210,271 is: 326,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,258 : 210,271 = 210,271 : x
  2. Step 2: Convert to fraction form
    135,258/210,271 = 210,271/x
  3. Step 3: Cross multiply
    135,258x = 210,271 × 210,271
  4. Step 4: Simplify right side
    135,258x = 44,213,893,441
  5. Step 5: Solve for x
    x = 44,213,893,441/135,258
  6. Step 6: Final answer
    x = 326,885.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.