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Finding the Third Proportional to 299,267 and 656,687

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Solution

The third proportional to 299,267 and 656,687 is: 1,440,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,267 : 656,687 = 656,687 : x
  2. Step 2: Convert to fraction form
    299,267/656,687 = 656,687/x
  3. Step 3: Cross multiply
    299,267x = 656,687 × 656,687
  4. Step 4: Simplify right side
    299,267x = 431,237,815,969
  5. Step 5: Solve for x
    x = 431,237,815,969/299,267
  6. Step 6: Final answer
    x = 1,440,980.18

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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.