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Finding the Third Proportional to 39,820.25 and 85,543.75

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Solution

The third proportional to 39,820.25 and 85,543.75 is: 183,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820.25 : 85,543.75 = 85,543.75 : x
  2. Step 2: Convert to fraction form
    39,820.25/85,543.75 = 85,543.75/x
  3. Step 3: Cross multiply
    39,820.25x = 85,543.75 × 85,543.75
  4. Step 4: Simplify right side
    39,820.25x = 7,317,733,164.06
  5. Step 5: Solve for x
    x = 7,317,733,164.06/39,820.25
  6. Step 6: Final answer
    x = 183,769.14

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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.