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Finding the Third Proportional to 151,013 and 317,565

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Solution

The third proportional to 151,013 and 317,565 is: 667,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,013 : 317,565 = 317,565 : x
  2. Step 2: Convert to fraction form
    151,013/317,565 = 317,565/x
  3. Step 3: Cross multiply
    151,013x = 317,565 × 317,565
  4. Step 4: Simplify right side
    151,013x = 100,847,529,225
  5. Step 5: Solve for x
    x = 100,847,529,225/151,013
  6. Step 6: Final answer
    x = 667,806.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.