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Finding the Third Proportional to 19,288 and 30,059.75

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Solution

The third proportional to 19,288 and 30,059.75 is: 46,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,288 : 30,059.75 = 30,059.75 : x
  2. Step 2: Convert to fraction form
    19,288/30,059.75 = 30,059.75/x
  3. Step 3: Cross multiply
    19,288x = 30,059.75 × 30,059.75
  4. Step 4: Simplify right side
    19,288x = 903,588,570.06
  5. Step 5: Solve for x
    x = 903,588,570.06/19,288
  6. Step 6: Final answer
    x = 46,847.19

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1.5x scale

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.