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Finding the Third Proportional to 319,072 and 493,992

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Solution

The third proportional to 319,072 and 493,992 is: 764,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,072 : 493,992 = 493,992 : x
  2. Step 2: Convert to fraction form
    319,072/493,992 = 493,992/x
  3. Step 3: Cross multiply
    319,072x = 493,992 × 493,992
  4. Step 4: Simplify right side
    319,072x = 244,028,096,064
  5. Step 5: Solve for x
    x = 244,028,096,064/319,072
  6. Step 6: Final answer
    x = 764,805.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.