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Finding the Third Proportional to 40,905 and 85,515.75

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Solution

The third proportional to 40,905 and 85,515.75 is: 178,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,905 : 85,515.75 = 85,515.75 : x
  2. Step 2: Convert to fraction form
    40,905/85,515.75 = 85,515.75/x
  3. Step 3: Cross multiply
    40,905x = 85,515.75 × 85,515.75
  4. Step 4: Simplify right side
    40,905x = 7,312,943,498.06
  5. Step 5: Solve for x
    x = 7,312,943,498.06/40,905
  6. Step 6: Final answer
    x = 178,778.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.