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Finding the Third Proportional to 210,211 and 321,492

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Solution

The third proportional to 210,211 and 321,492 is: 491,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211 : 321,492 = 321,492 : x
  2. Step 2: Convert to fraction form
    210,211/321,492 = 321,492/x
  3. Step 3: Cross multiply
    210,211x = 321,492 × 321,492
  4. Step 4: Simplify right side
    210,211x = 103,357,106,064
  5. Step 5: Solve for x
    x = 103,357,106,064/210,211
  6. Step 6: Final answer
    x = 491,682.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.