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Finding the Third Proportional to 30,005.44 and 65,660.63

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Solution

The third proportional to 30,005.44 and 65,660.63 is: 143,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.44 : 65,660.63 = 65,660.63 : x
  2. Step 2: Convert to fraction form
    30,005.44/65,660.63 = 65,660.63/x
  3. Step 3: Cross multiply
    30,005.44x = 65,660.63 × 65,660.63
  4. Step 4: Simplify right side
    30,005.44x = 4,311,317,675.39
  5. Step 5: Solve for x
    x = 4,311,317,675.39/30,005.44
  6. Step 6: Final answer
    x = 143,684.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.