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Finding the Third Proportional to 489,167 and 731,500

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Solution

The third proportional to 489,167 and 731,500 is: 1,093,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,167 : 731,500 = 731,500 : x
  2. Step 2: Convert to fraction form
    489,167/731,500 = 731,500/x
  3. Step 3: Cross multiply
    489,167x = 731,500 × 731,500
  4. Step 4: Simplify right side
    489,167x = 535,092,250,000
  5. Step 5: Solve for x
    x = 535,092,250,000/489,167
  6. Step 6: Final answer
    x = 1,093,884.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.