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Finding the Third Proportional to 11,312 and 12,800

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Solution

The third proportional to 11,312 and 12,800 is: 14,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312 : 12,800 = 12,800 : x
  2. Step 2: Convert to fraction form
    11,312/12,800 = 12,800/x
  3. Step 3: Cross multiply
    11,312x = 12,800 × 12,800
  4. Step 4: Simplify right side
    11,312x = 163,840,000
  5. Step 5: Solve for x
    x = 163,840,000/11,312
  6. Step 6: Final answer
    x = 14,483.73

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.