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Finding the Third Proportional to 308,745 and 658,962

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Solution

The third proportional to 308,745 and 658,962 is: 1,406,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,745 : 658,962 = 658,962 : x
  2. Step 2: Convert to fraction form
    308,745/658,962 = 658,962/x
  3. Step 3: Cross multiply
    308,745x = 658,962 × 658,962
  4. Step 4: Simplify right side
    308,745x = 434,230,917,444
  5. Step 5: Solve for x
    x = 434,230,917,444/308,745
  6. Step 6: Final answer
    x = 1,406,438.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.