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Finding the Third Proportional to 150,290 and 317,344

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Solution

The third proportional to 150,290 and 317,344 is: 670,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,290 : 317,344 = 317,344 : x
  2. Step 2: Convert to fraction form
    150,290/317,344 = 317,344/x
  3. Step 3: Cross multiply
    150,290x = 317,344 × 317,344
  4. Step 4: Simplify right side
    150,290x = 100,707,214,336
  5. Step 5: Solve for x
    x = 100,707,214,336/150,290
  6. Step 6: Final answer
    x = 670,085.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.