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Finding the Third Proportional to 221,243 and 520,058

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Solution

The third proportional to 221,243 and 520,058 is: 1,222,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,243 : 520,058 = 520,058 : x
  2. Step 2: Convert to fraction form
    221,243/520,058 = 520,058/x
  3. Step 3: Cross multiply
    221,243x = 520,058 × 520,058
  4. Step 4: Simplify right side
    221,243x = 270,460,323,364
  5. Step 5: Solve for x
    x = 270,460,323,364/221,243
  6. Step 6: Final answer
    x = 1,222,458.22

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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.