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Finding the Third Proportional to 120,912 and 181,476

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Solution

The third proportional to 120,912 and 181,476 is: 272,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912 : 181,476 = 181,476 : x
  2. Step 2: Convert to fraction form
    120,912/181,476 = 181,476/x
  3. Step 3: Cross multiply
    120,912x = 181,476 × 181,476
  4. Step 4: Simplify right side
    120,912x = 32,933,538,576
  5. Step 5: Solve for x
    x = 32,933,538,576/120,912
  6. Step 6: Final answer
    x = 272,376.10

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Why These Related Problems?

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