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Finding the Third Proportional to 287,039 and 628,618

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Solution

The third proportional to 287,039 and 628,618 is: 1,376,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,039 : 628,618 = 628,618 : x
  2. Step 2: Convert to fraction form
    287,039/628,618 = 628,618/x
  3. Step 3: Cross multiply
    287,039x = 628,618 × 628,618
  4. Step 4: Simplify right side
    287,039x = 395,160,589,924
  5. Step 5: Solve for x
    x = 395,160,589,924/287,039
  6. Step 6: Final answer
    x = 1,376,679.09

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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.