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Finding the Third Proportional to 357,639 and 744,375

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Solution

The third proportional to 357,639 and 744,375 is: 1,549,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,639 : 744,375 = 744,375 : x
  2. Step 2: Convert to fraction form
    357,639/744,375 = 744,375/x
  3. Step 3: Cross multiply
    357,639x = 744,375 × 744,375
  4. Step 4: Simplify right side
    357,639x = 554,094,140,625
  5. Step 5: Solve for x
    x = 554,094,140,625/357,639
  6. Step 6: Final answer
    x = 1,549,311.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.