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Finding the Third Proportional to 9,090.75 and 19,613.25

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Solution

The third proportional to 9,090.75 and 19,613.25 is: 42,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.75 : 19,613.25 = 19,613.25 : x
  2. Step 2: Convert to fraction form
    9,090.75/19,613.25 = 19,613.25/x
  3. Step 3: Cross multiply
    9,090.75x = 19,613.25 × 19,613.25
  4. Step 4: Simplify right side
    9,090.75x = 384,679,575.56
  5. Step 5: Solve for x
    x = 384,679,575.56/9,090.75
  6. Step 6: Final answer
    x = 42,315.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.