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Finding the Third Proportional to 489,171 and 731,506

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Solution

The third proportional to 489,171 and 731,506 is: 1,093,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,171 : 731,506 = 731,506 : x
  2. Step 2: Convert to fraction form
    489,171/731,506 = 731,506/x
  3. Step 3: Cross multiply
    489,171x = 731,506 × 731,506
  4. Step 4: Simplify right side
    489,171x = 535,101,028,036
  5. Step 5: Solve for x
    x = 535,101,028,036/489,171
  6. Step 6: Final answer
    x = 1,093,893.60

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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.