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Finding the Third Proportional to 162,861 and 255,818

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Solution

The third proportional to 162,861 and 255,818 is: 401,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,861 : 255,818 = 255,818 : x
  2. Step 2: Convert to fraction form
    162,861/255,818 = 255,818/x
  3. Step 3: Cross multiply
    162,861x = 255,818 × 255,818
  4. Step 4: Simplify right side
    162,861x = 65,442,849,124
  5. Step 5: Solve for x
    x = 65,442,849,124/162,861
  6. Step 6: Final answer
    x = 401,832.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.