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Finding the Third Proportional to 30,376.31 and 65,409.19

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Solution

The third proportional to 30,376.31 and 65,409.19 is: 140,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376.31 : 65,409.19 = 65,409.19 : x
  2. Step 2: Convert to fraction form
    30,376.31/65,409.19 = 65,409.19/x
  3. Step 3: Cross multiply
    30,376.31x = 65,409.19 × 65,409.19
  4. Step 4: Simplify right side
    30,376.31x = 4,278,361,809.41
  5. Step 5: Solve for x
    x = 4,278,361,809.41/30,376.31
  6. Step 6: Final answer
    x = 140,845.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.