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Finding the Third Proportional to 11,413 and 15,403

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Solution

The third proportional to 11,413 and 15,403 is: 20,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413 : 15,403 = 15,403 : x
  2. Step 2: Convert to fraction form
    11,413/15,403 = 15,403/x
  3. Step 3: Cross multiply
    11,413x = 15,403 × 15,403
  4. Step 4: Simplify right side
    11,413x = 237,252,409
  5. Step 5: Solve for x
    x = 237,252,409/11,413
  6. Step 6: Final answer
    x = 20,787.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.