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Finding the Third Proportional to 254,783 and 520,621

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Solution

The third proportional to 254,783 and 520,621 is: 1,063,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,783 : 520,621 = 520,621 : x
  2. Step 2: Convert to fraction form
    254,783/520,621 = 520,621/x
  3. Step 3: Cross multiply
    254,783x = 520,621 × 520,621
  4. Step 4: Simplify right side
    254,783x = 271,046,225,641
  5. Step 5: Solve for x
    x = 271,046,225,641/254,783
  6. Step 6: Final answer
    x = 1,063,831.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.