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Finding the Third Proportional to 361,704 and 785,678

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Solution

The third proportional to 361,704 and 785,678 is: 1,706,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,704 : 785,678 = 785,678 : x
  2. Step 2: Convert to fraction form
    361,704/785,678 = 785,678/x
  3. Step 3: Cross multiply
    361,704x = 785,678 × 785,678
  4. Step 4: Simplify right side
    361,704x = 617,289,919,684
  5. Step 5: Solve for x
    x = 617,289,919,684/361,704
  6. Step 6: Final answer
    x = 1,706,616.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.