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Finding the Third Proportional to 291,328 and 635,618

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Solution

The third proportional to 291,328 and 635,618 is: 1,386,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,328 : 635,618 = 635,618 : x
  2. Step 2: Convert to fraction form
    291,328/635,618 = 635,618/x
  3. Step 3: Cross multiply
    291,328x = 635,618 × 635,618
  4. Step 4: Simplify right side
    291,328x = 404,010,241,924
  5. Step 5: Solve for x
    x = 404,010,241,924/291,328
  6. Step 6: Final answer
    x = 1,386,788.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.