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Finding the Third Proportional to 316,880 and 494,760

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Solution

The third proportional to 316,880 and 494,760 is: 772,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,880 : 494,760 = 494,760 : x
  2. Step 2: Convert to fraction form
    316,880/494,760 = 494,760/x
  3. Step 3: Cross multiply
    316,880x = 494,760 × 494,760
  4. Step 4: Simplify right side
    316,880x = 244,787,457,600
  5. Step 5: Solve for x
    x = 244,787,457,600/316,880
  6. Step 6: Final answer
    x = 772,492.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.