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Finding the Third Proportional to 120,440 and 178,920

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Solution

The third proportional to 120,440 and 178,920 is: 265,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,440 : 178,920 = 178,920 : x
  2. Step 2: Convert to fraction form
    120,440/178,920 = 178,920/x
  3. Step 3: Cross multiply
    120,440x = 178,920 × 178,920
  4. Step 4: Simplify right side
    120,440x = 32,012,366,400
  5. Step 5: Solve for x
    x = 32,012,366,400/120,440
  6. Step 6: Final answer
    x = 265,795.14

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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.