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Finding the Third Proportional to 147,836 and 317,812

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Solution

The third proportional to 147,836 and 317,812 is: 683,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,836 : 317,812 = 317,812 : x
  2. Step 2: Convert to fraction form
    147,836/317,812 = 317,812/x
  3. Step 3: Cross multiply
    147,836x = 317,812 × 317,812
  4. Step 4: Simplify right side
    147,836x = 101,004,467,344
  5. Step 5: Solve for x
    x = 101,004,467,344/147,836
  6. Step 6: Final answer
    x = 683,219.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.