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Finding the Third Proportional to 783,704.50 and 1,103,627.50

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Solution

The third proportional to 783,704.50 and 1,103,627.50 is: 1,554,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,704.50 : 1,103,627.50 = 1,103,627.50 : x
  2. Step 2: Convert to fraction form
    783,704.50/1,103,627.50 = 1,103,627.50/x
  3. Step 3: Cross multiply
    783,704.50x = 1,103,627.50 × 1,103,627.50
  4. Step 4: Simplify right side
    783,704.50x = 1,217,993,658,756.25
  5. Step 5: Solve for x
    x = 1,217,993,658,756.25/783,704.50
  6. Step 6: Final answer
    x = 1,554,149.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.