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Finding the Third Proportional to 682 and 783.50

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Solution

The third proportional to 682 and 783.50 is: 900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682 : 783.50 = 783.50 : x
  2. Step 2: Convert to fraction form
    682/783.50 = 783.50/x
  3. Step 3: Cross multiply
    682x = 783.50 × 783.50
  4. Step 4: Simplify right side
    682x = 613,872.25
  5. Step 5: Solve for x
    x = 613,872.25/682
  6. Step 6: Final answer
    x = 900.11

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.