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Finding the Third Proportional to 162,780 and 252,017

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Solution

The third proportional to 162,780 and 252,017 is: 390,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,780 : 252,017 = 252,017 : x
  2. Step 2: Convert to fraction form
    162,780/252,017 = 252,017/x
  3. Step 3: Cross multiply
    162,780x = 252,017 × 252,017
  4. Step 4: Simplify right side
    162,780x = 63,512,568,289
  5. Step 5: Solve for x
    x = 63,512,568,289/162,780
  6. Step 6: Final answer
    x = 390,174.27

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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.