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Finding the Third Proportional to 299,276 and 656,706

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Solution

The third proportional to 299,276 and 656,706 is: 1,441,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,276 : 656,706 = 656,706 : x
  2. Step 2: Convert to fraction form
    299,276/656,706 = 656,706/x
  3. Step 3: Cross multiply
    299,276x = 656,706 × 656,706
  4. Step 4: Simplify right side
    299,276x = 431,262,770,436
  5. Step 5: Solve for x
    x = 431,262,770,436/299,276
  6. Step 6: Final answer
    x = 1,441,020.23

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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.