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Finding the Third Proportional to 497.95 and 983.53

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Solution

The third proportional to 497.95 and 983.53 is: 1,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.95 : 983.53 = 983.53 : x
  2. Step 2: Convert to fraction form
    497.95/983.53 = 983.53/x
  3. Step 3: Cross multiply
    497.95x = 983.53 × 983.53
  4. Step 4: Simplify right side
    497.95x = 967,333.72
  5. Step 5: Solve for x
    x = 967,333.72/497.95
  6. Step 6: Final answer
    x = 1,942.62

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.