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Finding the Third Proportional to 319,536 and 489,000

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Solution

The third proportional to 319,536 and 489,000 is: 748,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,536 : 489,000 = 489,000 : x
  2. Step 2: Convert to fraction form
    319,536/489,000 = 489,000/x
  3. Step 3: Cross multiply
    319,536x = 489,000 × 489,000
  4. Step 4: Simplify right side
    319,536x = 239,121,000,000
  5. Step 5: Solve for x
    x = 239,121,000,000/319,536
  6. Step 6: Final answer
    x = 748,338.22

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