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Finding the Third Proportional to 151,015 and 317,569

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Solution

The third proportional to 151,015 and 317,569 is: 667,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,015 : 317,569 = 317,569 : x
  2. Step 2: Convert to fraction form
    151,015/317,569 = 317,569/x
  3. Step 3: Cross multiply
    151,015x = 317,569 × 317,569
  4. Step 4: Simplify right side
    151,015x = 100,850,069,761
  5. Step 5: Solve for x
    x = 100,850,069,761/151,015
  6. Step 6: Final answer
    x = 667,814.92

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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.