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Finding the Third Proportional to 19,075.50 and 20,391.75

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Solution

The third proportional to 19,075.50 and 20,391.75 is: 21,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.50 : 20,391.75 = 20,391.75 : x
  2. Step 2: Convert to fraction form
    19,075.50/20,391.75 = 20,391.75/x
  3. Step 3: Cross multiply
    19,075.50x = 20,391.75 × 20,391.75
  4. Step 4: Simplify right side
    19,075.50x = 415,823,468.06
  5. Step 5: Solve for x
    x = 415,823,468.06/19,075.50
  6. Step 6: Final answer
    x = 21,798.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.