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Finding the Third Proportional to 254,410 and 395,621

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Solution

The third proportional to 254,410 and 395,621 is: 615,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,410 : 395,621 = 395,621 : x
  2. Step 2: Convert to fraction form
    254,410/395,621 = 395,621/x
  3. Step 3: Cross multiply
    254,410x = 395,621 × 395,621
  4. Step 4: Simplify right side
    254,410x = 156,515,975,641
  5. Step 5: Solve for x
    x = 156,515,975,641/254,410
  6. Step 6: Final answer
    x = 615,211.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.