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Finding the Third Proportional to 39,154 and 55,815

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Solution

The third proportional to 39,154 and 55,815 is: 79,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,154 : 55,815 = 55,815 : x
  2. Step 2: Convert to fraction form
    39,154/55,815 = 55,815/x
  3. Step 3: Cross multiply
    39,154x = 55,815 × 55,815
  4. Step 4: Simplify right side
    39,154x = 3,115,314,225
  5. Step 5: Solve for x
    x = 3,115,314,225/39,154
  6. Step 6: Final answer
    x = 79,565.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.