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Finding the Third Proportional to 146,583 and 321,221

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Solution

The third proportional to 146,583 and 321,221 is: 703,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,583 : 321,221 = 321,221 : x
  2. Step 2: Convert to fraction form
    146,583/321,221 = 321,221/x
  3. Step 3: Cross multiply
    146,583x = 321,221 × 321,221
  4. Step 4: Simplify right side
    146,583x = 103,182,930,841
  5. Step 5: Solve for x
    x = 103,182,930,841/146,583
  6. Step 6: Final answer
    x = 703,921.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.