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Finding the Third Proportional to 212,371.88 and 321,645.94

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Solution

The third proportional to 212,371.88 and 321,645.94 is: 487,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,371.88 : 321,645.94 = 321,645.94 : x
  2. Step 2: Convert to fraction form
    212,371.88/321,645.94 = 321,645.94/x
  3. Step 3: Cross multiply
    212,371.88x = 321,645.94 × 321,645.94
  4. Step 4: Simplify right side
    212,371.88x = 103,456,109,110.25
  5. Step 5: Solve for x
    x = 103,456,109,110.25/212,371.88
  6. Step 6: Final answer
    x = 487,146.00

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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.