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Finding the Third Proportional to 344.06 and 492.84

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Solution

The third proportional to 344.06 and 492.84 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.06 : 492.84 = 492.84 : x
  2. Step 2: Convert to fraction form
    344.06/492.84 = 492.84/x
  3. Step 3: Cross multiply
    344.06x = 492.84 × 492.84
  4. Step 4: Simplify right side
    344.06x = 242,894.96
  5. Step 5: Solve for x
    x = 242,894.96/344.06
  6. Step 6: Final answer
    x = 705.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.