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Finding the Third Proportional to 150,257 and 317,281

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Solution

The third proportional to 150,257 and 317,281 is: 669,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,257 : 317,281 = 317,281 : x
  2. Step 2: Convert to fraction form
    150,257/317,281 = 317,281/x
  3. Step 3: Cross multiply
    150,257x = 317,281 × 317,281
  4. Step 4: Simplify right side
    150,257x = 100,667,232,961
  5. Step 5: Solve for x
    x = 100,667,232,961/150,257
  6. Step 6: Final answer
    x = 669,967.01

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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.