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Finding the Third Proportional to 355,878 and 783,057

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Solution

The third proportional to 355,878 and 783,057 is: 1,723,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,878 : 783,057 = 783,057 : x
  2. Step 2: Convert to fraction form
    355,878/783,057 = 783,057/x
  3. Step 3: Cross multiply
    355,878x = 783,057 × 783,057
  4. Step 4: Simplify right side
    355,878x = 613,178,265,249
  5. Step 5: Solve for x
    x = 613,178,265,249/355,878
  6. Step 6: Final answer
    x = 1,723,001.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.