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Finding the Third Proportional to 221,248 and 520,068

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Solution

The third proportional to 221,248 and 520,068 is: 1,222,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,248 : 520,068 = 520,068 : x
  2. Step 2: Convert to fraction form
    221,248/520,068 = 520,068/x
  3. Step 3: Cross multiply
    221,248x = 520,068 × 520,068
  4. Step 4: Simplify right side
    221,248x = 270,470,724,624
  5. Step 5: Solve for x
    x = 270,470,724,624/221,248
  6. Step 6: Final answer
    x = 1,222,477.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.