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Finding the Third Proportional to 30,911 and 57,403

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Solution

The third proportional to 30,911 and 57,403 is: 106,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911 : 57,403 = 57,403 : x
  2. Step 2: Convert to fraction form
    30,911/57,403 = 57,403/x
  3. Step 3: Cross multiply
    30,911x = 57,403 × 57,403
  4. Step 4: Simplify right side
    30,911x = 3,295,104,409
  5. Step 5: Solve for x
    x = 3,295,104,409/30,911
  6. Step 6: Final answer
    x = 106,599.74

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.