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Finding the Third Proportional to 7,772.25 and 10,221.75

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Solution

The third proportional to 7,772.25 and 10,221.75 is: 13,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.25 : 10,221.75 = 10,221.75 : x
  2. Step 2: Convert to fraction form
    7,772.25/10,221.75 = 10,221.75/x
  3. Step 3: Cross multiply
    7,772.25x = 10,221.75 × 10,221.75
  4. Step 4: Simplify right side
    7,772.25x = 104,484,173.06
  5. Step 5: Solve for x
    x = 104,484,173.06/7,772.25
  6. Step 6: Final answer
    x = 13,443.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.