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Finding the Third Proportional to 983.75 and 2,129.38

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Solution

The third proportional to 983.75 and 2,129.38 is: 4,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.75 : 2,129.38 = 2,129.38 : x
  2. Step 2: Convert to fraction form
    983.75/2,129.38 = 2,129.38/x
  3. Step 3: Cross multiply
    983.75x = 2,129.38 × 2,129.38
  4. Step 4: Simplify right side
    983.75x = 4,534,237.89
  5. Step 5: Solve for x
    x = 4,534,237.89/983.75
  6. Step 6: Final answer
    x = 4,609.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.