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Finding the Third Proportional to 85,069 and 178,844

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Solution

The third proportional to 85,069 and 178,844 is: 375,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,069 : 178,844 = 178,844 : x
  2. Step 2: Convert to fraction form
    85,069/178,844 = 178,844/x
  3. Step 3: Cross multiply
    85,069x = 178,844 × 178,844
  4. Step 4: Simplify right side
    85,069x = 31,985,176,336
  5. Step 5: Solve for x
    x = 31,985,176,336/85,069
  6. Step 6: Final answer
    x = 375,990.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.