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Finding the Third Proportional to 333,998 and 679,658

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Solution

The third proportional to 333,998 and 679,658 is: 1,383,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,998 : 679,658 = 679,658 : x
  2. Step 2: Convert to fraction form
    333,998/679,658 = 679,658/x
  3. Step 3: Cross multiply
    333,998x = 679,658 × 679,658
  4. Step 4: Simplify right side
    333,998x = 461,934,996,964
  5. Step 5: Solve for x
    x = 461,934,996,964/333,998
  6. Step 6: Final answer
    x = 1,383,047.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.