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Finding the Third Proportional to 319,768 and 461,970

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Solution

The third proportional to 319,768 and 461,970 is: 667,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,768 : 461,970 = 461,970 : x
  2. Step 2: Convert to fraction form
    319,768/461,970 = 461,970/x
  3. Step 3: Cross multiply
    319,768x = 461,970 × 461,970
  4. Step 4: Simplify right side
    319,768x = 213,416,280,900
  5. Step 5: Solve for x
    x = 213,416,280,900/319,768
  6. Step 6: Final answer
    x = 667,409.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.