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Finding the Third Proportional to 1,538 and 2,403

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Solution

The third proportional to 1,538 and 2,403 is: 3,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538 : 2,403 = 2,403 : x
  2. Step 2: Convert to fraction form
    1,538/2,403 = 2,403/x
  3. Step 3: Cross multiply
    1,538x = 2,403 × 2,403
  4. Step 4: Simplify right side
    1,538x = 5,774,409
  5. Step 5: Solve for x
    x = 5,774,409/1,538
  6. Step 6: Final answer
    x = 3,754.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.