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Finding the Third Proportional to 212,371 and 321,276

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Solution

The third proportional to 212,371 and 321,276 is: 486,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,371 : 321,276 = 321,276 : x
  2. Step 2: Convert to fraction form
    212,371/321,276 = 321,276/x
  3. Step 3: Cross multiply
    212,371x = 321,276 × 321,276
  4. Step 4: Simplify right side
    212,371x = 103,218,268,176
  5. Step 5: Solve for x
    x = 103,218,268,176/212,371
  6. Step 6: Final answer
    x = 486,028.07

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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.