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Finding the Third Proportional to 228,621 and 347,490.75

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Solution

The third proportional to 228,621 and 347,490.75 is: 528,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,621 : 347,490.75 = 347,490.75 : x
  2. Step 2: Convert to fraction form
    228,621/347,490.75 = 347,490.75/x
  3. Step 3: Cross multiply
    228,621x = 347,490.75 × 347,490.75
  4. Step 4: Simplify right side
    228,621x = 120,749,821,335.56
  5. Step 5: Solve for x
    x = 120,749,821,335.56/228,621
  6. Step 6: Final answer
    x = 528,165.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.