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Finding the Third Proportional to 305,419.50 and 658,167

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Solution

The third proportional to 305,419.50 and 658,167 is: 1,418,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,419.50 : 658,167 = 658,167 : x
  2. Step 2: Convert to fraction form
    305,419.50/658,167 = 658,167/x
  3. Step 3: Cross multiply
    305,419.50x = 658,167 × 658,167
  4. Step 4: Simplify right side
    305,419.50x = 433,183,799,889
  5. Step 5: Solve for x
    x = 433,183,799,889/305,419.50
  6. Step 6: Final answer
    x = 1,418,323.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.