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Finding the Third Proportional to 305,858 and 658,588

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Solution

The third proportional to 305,858 and 658,588 is: 1,418,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,858 : 658,588 = 658,588 : x
  2. Step 2: Convert to fraction form
    305,858/658,588 = 658,588/x
  3. Step 3: Cross multiply
    305,858x = 658,588 × 658,588
  4. Step 4: Simplify right side
    305,858x = 433,738,153,744
  5. Step 5: Solve for x
    x = 433,738,153,744/305,858
  6. Step 6: Final answer
    x = 1,418,103.02

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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.