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Finding the Third Proportional to 145,698 and 317,874

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Solution

The third proportional to 145,698 and 317,874 is: 693,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,698 : 317,874 = 317,874 : x
  2. Step 2: Convert to fraction form
    145,698/317,874 = 317,874/x
  3. Step 3: Cross multiply
    145,698x = 317,874 × 317,874
  4. Step 4: Simplify right side
    145,698x = 101,043,879,876
  5. Step 5: Solve for x
    x = 101,043,879,876/145,698
  6. Step 6: Final answer
    x = 693,515.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.