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Finding the Third Proportional to 45,178 and 69,815

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Solution

The third proportional to 45,178 and 69,815 is: 107,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,178 : 69,815 = 69,815 : x
  2. Step 2: Convert to fraction form
    45,178/69,815 = 69,815/x
  3. Step 3: Cross multiply
    45,178x = 69,815 × 69,815
  4. Step 4: Simplify right side
    45,178x = 4,874,134,225
  5. Step 5: Solve for x
    x = 4,874,134,225/45,178
  6. Step 6: Final answer
    x = 107,887.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.