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Finding the Third Proportional to 73,485 and 109,942

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Solution

The third proportional to 73,485 and 109,942 is: 164,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,485 : 109,942 = 109,942 : x
  2. Step 2: Convert to fraction form
    73,485/109,942 = 109,942/x
  3. Step 3: Cross multiply
    73,485x = 109,942 × 109,942
  4. Step 4: Simplify right side
    73,485x = 12,087,243,364
  5. Step 5: Solve for x
    x = 12,087,243,364/73,485
  6. Step 6: Final answer
    x = 164,485.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.