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Finding the Third Proportional to 488,268 and 731,920

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Solution

The third proportional to 488,268 and 731,920 is: 1,097,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,268 : 731,920 = 731,920 : x
  2. Step 2: Convert to fraction form
    488,268/731,920 = 731,920/x
  3. Step 3: Cross multiply
    488,268x = 731,920 × 731,920
  4. Step 4: Simplify right side
    488,268x = 535,706,886,400
  5. Step 5: Solve for x
    x = 535,706,886,400/488,268
  6. Step 6: Final answer
    x = 1,097,157.48

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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.