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Finding the Third Proportional to 319,538 and 489,003

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Solution

The third proportional to 319,538 and 489,003 is: 748,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,538 : 489,003 = 489,003 : x
  2. Step 2: Convert to fraction form
    319,538/489,003 = 489,003/x
  3. Step 3: Cross multiply
    319,538x = 489,003 × 489,003
  4. Step 4: Simplify right side
    319,538x = 239,123,934,009
  5. Step 5: Solve for x
    x = 239,123,934,009/319,538
  6. Step 6: Final answer
    x = 748,342.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.