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Finding the Third Proportional to 255,818 and 562,396

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Solution

The third proportional to 255,818 and 562,396 is: 1,236,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,818 : 562,396 = 562,396 : x
  2. Step 2: Convert to fraction form
    255,818/562,396 = 562,396/x
  3. Step 3: Cross multiply
    255,818x = 562,396 × 562,396
  4. Step 4: Simplify right side
    255,818x = 316,289,260,816
  5. Step 5: Solve for x
    x = 316,289,260,816/255,818
  6. Step 6: Final answer
    x = 1,236,383.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.