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Finding the Third Proportional to 255,286 and 531,580

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Solution

The third proportional to 255,286 and 531,580 is: 1,106,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,286 : 531,580 = 531,580 : x
  2. Step 2: Convert to fraction form
    255,286/531,580 = 531,580/x
  3. Step 3: Cross multiply
    255,286x = 531,580 × 531,580
  4. Step 4: Simplify right side
    255,286x = 282,577,296,400
  5. Step 5: Solve for x
    x = 282,577,296,400/255,286
  6. Step 6: Final answer
    x = 1,106,904.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.