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Finding the Third Proportional to 39,300.75 and 80,421.75

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Solution

The third proportional to 39,300.75 and 80,421.75 is: 164,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,300.75 : 80,421.75 = 80,421.75 : x
  2. Step 2: Convert to fraction form
    39,300.75/80,421.75 = 80,421.75/x
  3. Step 3: Cross multiply
    39,300.75x = 80,421.75 × 80,421.75
  4. Step 4: Simplify right side
    39,300.75x = 6,467,657,873.06
  5. Step 5: Solve for x
    x = 6,467,657,873.06/39,300.75
  6. Step 6: Final answer
    x = 164,568.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.