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Finding the Third Proportional to 21,312 and 31,194

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Solution

The third proportional to 21,312 and 31,194 is: 45,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312 : 31,194 = 31,194 : x
  2. Step 2: Convert to fraction form
    21,312/31,194 = 31,194/x
  3. Step 3: Cross multiply
    21,312x = 31,194 × 31,194
  4. Step 4: Simplify right side
    21,312x = 973,065,636
  5. Step 5: Solve for x
    x = 973,065,636/21,312
  6. Step 6: Final answer
    x = 45,658.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.