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Finding the Third Proportional to 9,947 and 13,461.50

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Solution

The third proportional to 9,947 and 13,461.50 is: 18,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947 : 13,461.50 = 13,461.50 : x
  2. Step 2: Convert to fraction form
    9,947/13,461.50 = 13,461.50/x
  3. Step 3: Cross multiply
    9,947x = 13,461.50 × 13,461.50
  4. Step 4: Simplify right side
    9,947x = 181,211,982.25
  5. Step 5: Solve for x
    x = 181,211,982.25/9,947
  6. Step 6: Final answer
    x = 18,217.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.