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Finding the Third Proportional to 230,319 and 485,847

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Solution

The third proportional to 230,319 and 485,847 is: 1,024,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,319 : 485,847 = 485,847 : x
  2. Step 2: Convert to fraction form
    230,319/485,847 = 485,847/x
  3. Step 3: Cross multiply
    230,319x = 485,847 × 485,847
  4. Step 4: Simplify right side
    230,319x = 236,047,307,409
  5. Step 5: Solve for x
    x = 236,047,307,409/230,319
  6. Step 6: Final answer
    x = 1,024,871.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.