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Finding the Third Proportional to 243,218 and 520,058

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Solution

The third proportional to 243,218 and 520,058 is: 1,112,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,218 : 520,058 = 520,058 : x
  2. Step 2: Convert to fraction form
    243,218/520,058 = 520,058/x
  3. Step 3: Cross multiply
    243,218x = 520,058 × 520,058
  4. Step 4: Simplify right side
    243,218x = 270,460,323,364
  5. Step 5: Solve for x
    x = 270,460,323,364/243,218
  6. Step 6: Final answer
    x = 1,112,007.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.