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Finding the Third Proportional to 39,388.78 and 86,466.23

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Solution

The third proportional to 39,388.78 and 86,466.23 is: 189,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,388.78 : 86,466.23 = 86,466.23 : x
  2. Step 2: Convert to fraction form
    39,388.78/86,466.23 = 86,466.23/x
  3. Step 3: Cross multiply
    39,388.78x = 86,466.23 × 86,466.23
  4. Step 4: Simplify right side
    39,388.78x = 7,476,409,686.99
  5. Step 5: Solve for x
    x = 7,476,409,686.99/39,388.78
  6. Step 6: Final answer
    x = 189,810.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.