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Finding the Third Proportional to 583.50 and 678

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Solution

The third proportional to 583.50 and 678 is: 787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 678 = 678 : x
  2. Step 2: Convert to fraction form
    583.50/678 = 678/x
  3. Step 3: Cross multiply
    583.50x = 678 × 678
  4. Step 4: Simplify right side
    583.50x = 459,684
  5. Step 5: Solve for x
    x = 459,684/583.50
  6. Step 6: Final answer
    x = 787.80

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.