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Finding the Third Proportional to 418 and 983.50

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Solution

The third proportional to 418 and 983.50 is: 2,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 983.50 = 983.50 : x
  2. Step 2: Convert to fraction form
    418/983.50 = 983.50/x
  3. Step 3: Cross multiply
    418x = 983.50 × 983.50
  4. Step 4: Simplify right side
    418x = 967,272.25
  5. Step 5: Solve for x
    x = 967,272.25/418
  6. Step 6: Final answer
    x = 2,314.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.