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Finding the Third Proportional to 498,874.88 and 770,753.63

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Solution

The third proportional to 498,874.88 and 770,753.63 is: 1,190,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,874.88 : 770,753.63 = 770,753.63 : x
  2. Step 2: Convert to fraction form
    498,874.88/770,753.63 = 770,753.63/x
  3. Step 3: Cross multiply
    498,874.88x = 770,753.63 × 770,753.63
  4. Step 4: Simplify right side
    498,874.88x = 594,061,150,450.64
  5. Step 5: Solve for x
    x = 594,061,150,450.64/498,874.88
  6. Step 6: Final answer
    x = 1,190,801.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.