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Finding the Third Proportional to 395,400 and 612,702

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Solution

The third proportional to 395,400 and 612,702 is: 949,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,400 : 612,702 = 612,702 : x
  2. Step 2: Convert to fraction form
    395,400/612,702 = 612,702/x
  3. Step 3: Cross multiply
    395,400x = 612,702 × 612,702
  4. Step 4: Simplify right side
    395,400x = 375,403,740,804
  5. Step 5: Solve for x
    x = 375,403,740,804/395,400
  6. Step 6: Final answer
    x = 949,427.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.