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Finding the Third Proportional to 14,258 and 21,271

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Solution

The third proportional to 14,258 and 21,271 is: 31,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258 : 21,271 = 21,271 : x
  2. Step 2: Convert to fraction form
    14,258/21,271 = 21,271/x
  3. Step 3: Cross multiply
    14,258x = 21,271 × 21,271
  4. Step 4: Simplify right side
    14,258x = 452,455,441
  5. Step 5: Solve for x
    x = 452,455,441/14,258
  6. Step 6: Final answer
    x = 31,733.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.