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Finding the Third Proportional to 109,213 and 164,821

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Solution

The third proportional to 109,213 and 164,821 is: 248,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,213 : 164,821 = 164,821 : x
  2. Step 2: Convert to fraction form
    109,213/164,821 = 164,821/x
  3. Step 3: Cross multiply
    109,213x = 164,821 × 164,821
  4. Step 4: Simplify right side
    109,213x = 27,165,962,041
  5. Step 5: Solve for x
    x = 27,165,962,041/109,213
  6. Step 6: Final answer
    x = 248,742.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.