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Finding the Third Proportional to 333,978 and 679,618

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Solution

The third proportional to 333,978 and 679,618 is: 1,382,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,978 : 679,618 = 679,618 : x
  2. Step 2: Convert to fraction form
    333,978/679,618 = 679,618/x
  3. Step 3: Cross multiply
    333,978x = 679,618 × 679,618
  4. Step 4: Simplify right side
    333,978x = 461,880,625,924
  5. Step 5: Solve for x
    x = 461,880,625,924/333,978
  6. Step 6: Final answer
    x = 1,382,967.22

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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.