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Finding the Third Proportional to 120,448 and 178,926

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Solution

The third proportional to 120,448 and 178,926 is: 265,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,448 : 178,926 = 178,926 : x
  2. Step 2: Convert to fraction form
    120,448/178,926 = 178,926/x
  3. Step 3: Cross multiply
    120,448x = 178,926 × 178,926
  4. Step 4: Simplify right side
    120,448x = 32,014,513,476
  5. Step 5: Solve for x
    x = 32,014,513,476/120,448
  6. Step 6: Final answer
    x = 265,795.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.