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Finding the Third Proportional to 983.75 and 1,580.25

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Solution

The third proportional to 983.75 and 1,580.25 is: 2,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.75 : 1,580.25 = 1,580.25 : x
  2. Step 2: Convert to fraction form
    983.75/1,580.25 = 1,580.25/x
  3. Step 3: Cross multiply
    983.75x = 1,580.25 × 1,580.25
  4. Step 4: Simplify right side
    983.75x = 2,497,190.06
  5. Step 5: Solve for x
    x = 2,497,190.06/983.75
  6. Step 6: Final answer
    x = 2,538.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.