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Finding the Third Proportional to 4,808 and 7,302.25

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Solution

The third proportional to 4,808 and 7,302.25 is: 11,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808 : 7,302.25 = 7,302.25 : x
  2. Step 2: Convert to fraction form
    4,808/7,302.25 = 7,302.25/x
  3. Step 3: Cross multiply
    4,808x = 7,302.25 × 7,302.25
  4. Step 4: Simplify right side
    4,808x = 53,322,855.06
  5. Step 5: Solve for x
    x = 53,322,855.06/4,808
  6. Step 6: Final answer
    x = 11,090.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.