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Finding the Third Proportional to 39,920.34 and 85,725.84

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Solution

The third proportional to 39,920.34 and 85,725.84 is: 184,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,920.34 : 85,725.84 = 85,725.84 : x
  2. Step 2: Convert to fraction form
    39,920.34/85,725.84 = 85,725.84/x
  3. Step 3: Cross multiply
    39,920.34x = 85,725.84 × 85,725.84
  4. Step 4: Simplify right side
    39,920.34x = 7,348,920,286.65
  5. Step 5: Solve for x
    x = 7,348,920,286.65/39,920.34
  6. Step 6: Final answer
    x = 184,089.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.