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Finding the Third Proportional to 10,312 and 11,392

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Solution

The third proportional to 10,312 and 11,392 is: 12,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 11,392 = 11,392 : x
  2. Step 2: Convert to fraction form
    10,312/11,392 = 11,392/x
  3. Step 3: Cross multiply
    10,312x = 11,392 × 11,392
  4. Step 4: Simplify right side
    10,312x = 129,777,664
  5. Step 5: Solve for x
    x = 129,777,664/10,312
  6. Step 6: Final answer
    x = 12,585.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.