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Finding the Third Proportional to 68,980 and 105,475

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Solution

The third proportional to 68,980 and 105,475 is: 161,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,980 : 105,475 = 105,475 : x
  2. Step 2: Convert to fraction form
    68,980/105,475 = 105,475/x
  3. Step 3: Cross multiply
    68,980x = 105,475 × 105,475
  4. Step 4: Simplify right side
    68,980x = 11,124,975,625
  5. Step 5: Solve for x
    x = 11,124,975,625/68,980
  6. Step 6: Final answer
    x = 161,278.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.