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Finding the Third Proportional to 120,312 and 180,036

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Solution

The third proportional to 120,312 and 180,036 is: 269,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,312 : 180,036 = 180,036 : x
  2. Step 2: Convert to fraction form
    120,312/180,036 = 180,036/x
  3. Step 3: Cross multiply
    120,312x = 180,036 × 180,036
  4. Step 4: Simplify right side
    120,312x = 32,412,961,296
  5. Step 5: Solve for x
    x = 32,412,961,296/120,312
  6. Step 6: Final answer
    x = 269,407.55

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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.