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Finding the Third Proportional to 9,557 and 20,083

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Solution

The third proportional to 9,557 and 20,083 is: 42,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557 : 20,083 = 20,083 : x
  2. Step 2: Convert to fraction form
    9,557/20,083 = 20,083/x
  3. Step 3: Cross multiply
    9,557x = 20,083 × 20,083
  4. Step 4: Simplify right side
    9,557x = 403,326,889
  5. Step 5: Solve for x
    x = 403,326,889/9,557
  6. Step 6: Final answer
    x = 42,202.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.