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Finding the Third Proportional to 319,170 and 472,583

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Solution

The third proportional to 319,170 and 472,583 is: 699,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,170 : 472,583 = 472,583 : x
  2. Step 2: Convert to fraction form
    319,170/472,583 = 472,583/x
  3. Step 3: Cross multiply
    319,170x = 472,583 × 472,583
  4. Step 4: Simplify right side
    319,170x = 223,334,691,889
  5. Step 5: Solve for x
    x = 223,334,691,889/319,170
  6. Step 6: Final answer
    x = 699,735.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.