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Finding the Third Proportional to 68,418 and 105,894

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Solution

The third proportional to 68,418 and 105,894 is: 163,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,418 : 105,894 = 105,894 : x
  2. Step 2: Convert to fraction form
    68,418/105,894 = 105,894/x
  3. Step 3: Cross multiply
    68,418x = 105,894 × 105,894
  4. Step 4: Simplify right side
    68,418x = 11,213,539,236
  5. Step 5: Solve for x
    x = 11,213,539,236/68,418
  6. Step 6: Final answer
    x = 163,897.50

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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.