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Finding the Third Proportional to 373,887 and 561,305

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Solution

The third proportional to 373,887 and 561,305 is: 842,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,887 : 561,305 = 561,305 : x
  2. Step 2: Convert to fraction form
    373,887/561,305 = 561,305/x
  3. Step 3: Cross multiply
    373,887x = 561,305 × 561,305
  4. Step 4: Simplify right side
    373,887x = 315,063,303,025
  5. Step 5: Solve for x
    x = 315,063,303,025/373,887
  6. Step 6: Final answer
    x = 842,669.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.