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Finding the Third Proportional to 213,417 and 321,532.88

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Solution

The third proportional to 213,417 and 321,532.88 is: 484,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,417 : 321,532.88 = 321,532.88 : x
  2. Step 2: Convert to fraction form
    213,417/321,532.88 = 321,532.88/x
  3. Step 3: Cross multiply
    213,417x = 321,532.88 × 321,532.88
  4. Step 4: Simplify right side
    213,417x = 103,383,389,705.77
  5. Step 5: Solve for x
    x = 103,383,389,705.77/213,417
  6. Step 6: Final answer
    x = 484,419.66

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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.