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Finding the Third Proportional to 243,389 and 363,058

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Solution

The third proportional to 243,389 and 363,058 is: 541,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,389 : 363,058 = 363,058 : x
  2. Step 2: Convert to fraction form
    243,389/363,058 = 363,058/x
  3. Step 3: Cross multiply
    243,389x = 363,058 × 363,058
  4. Step 4: Simplify right side
    243,389x = 131,811,111,364
  5. Step 5: Solve for x
    x = 131,811,111,364/243,389
  6. Step 6: Final answer
    x = 541,565.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.