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Finding the Third Proportional to 73,485 and 109,944

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Solution

The third proportional to 73,485 and 109,944 is: 164,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,485 : 109,944 = 109,944 : x
  2. Step 2: Convert to fraction form
    73,485/109,944 = 109,944/x
  3. Step 3: Cross multiply
    73,485x = 109,944 × 109,944
  4. Step 4: Simplify right side
    73,485x = 12,087,683,136
  5. Step 5: Solve for x
    x = 12,087,683,136/73,485
  6. Step 6: Final answer
    x = 164,491.84

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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.