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Finding the Third Proportional to 255,820 and 562,400

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Solution

The third proportional to 255,820 and 562,400 is: 1,236,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,820 : 562,400 = 562,400 : x
  2. Step 2: Convert to fraction form
    255,820/562,400 = 562,400/x
  3. Step 3: Cross multiply
    255,820x = 562,400 × 562,400
  4. Step 4: Simplify right side
    255,820x = 316,293,760,000
  5. Step 5: Solve for x
    x = 316,293,760,000/255,820
  6. Step 6: Final answer
    x = 1,236,391.84

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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.