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Finding the Third Proportional to 67,970 and 104,985

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Solution

The third proportional to 67,970 and 104,985 is: 162,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,970 : 104,985 = 104,985 : x
  2. Step 2: Convert to fraction form
    67,970/104,985 = 104,985/x
  3. Step 3: Cross multiply
    67,970x = 104,985 × 104,985
  4. Step 4: Simplify right side
    67,970x = 11,021,850,225
  5. Step 5: Solve for x
    x = 11,021,850,225/67,970
  6. Step 6: Final answer
    x = 162,157.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.