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Finding the Third Proportional to 39,958 and 57,557

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Solution

The third proportional to 39,958 and 57,557 is: 82,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,958 : 57,557 = 57,557 : x
  2. Step 2: Convert to fraction form
    39,958/57,557 = 57,557/x
  3. Step 3: Cross multiply
    39,958x = 57,557 × 57,557
  4. Step 4: Simplify right side
    39,958x = 3,312,808,249
  5. Step 5: Solve for x
    x = 3,312,808,249/39,958
  6. Step 6: Final answer
    x = 82,907.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.