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Finding the Third Proportional to 7,987.50 and 16,366.50

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Solution

The third proportional to 7,987.50 and 16,366.50 is: 33,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.50 : 16,366.50 = 16,366.50 : x
  2. Step 2: Convert to fraction form
    7,987.50/16,366.50 = 16,366.50/x
  3. Step 3: Cross multiply
    7,987.50x = 16,366.50 × 16,366.50
  4. Step 4: Simplify right side
    7,987.50x = 267,862,322.25
  5. Step 5: Solve for x
    x = 267,862,322.25/7,987.50
  6. Step 6: Final answer
    x = 33,535.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.