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Finding the Third Proportional to 395,409.75 and 612,777.75

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Solution

The third proportional to 395,409.75 and 612,777.75 is: 949,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409.75 : 612,777.75 = 612,777.75 : x
  2. Step 2: Convert to fraction form
    395,409.75/612,777.75 = 612,777.75/x
  3. Step 3: Cross multiply
    395,409.75x = 612,777.75 × 612,777.75
  4. Step 4: Simplify right side
    395,409.75x = 375,496,570,895.06
  5. Step 5: Solve for x
    x = 375,496,570,895.06/395,409.75
  6. Step 6: Final answer
    x = 949,639.13

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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.