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Finding the Third Proportional to 68,858.50 and 145,985

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Solution

The third proportional to 68,858.50 and 145,985 is: 309,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,858.50 : 145,985 = 145,985 : x
  2. Step 2: Convert to fraction form
    68,858.50/145,985 = 145,985/x
  3. Step 3: Cross multiply
    68,858.50x = 145,985 × 145,985
  4. Step 4: Simplify right side
    68,858.50x = 21,311,620,225
  5. Step 5: Solve for x
    x = 21,311,620,225/68,858.50
  6. Step 6: Final answer
    x = 309,498.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.