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Finding the Third Proportional to 311,932 and 638,618

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Solution

The third proportional to 311,932 and 638,618 is: 1,307,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,932 : 638,618 = 638,618 : x
  2. Step 2: Convert to fraction form
    311,932/638,618 = 638,618/x
  3. Step 3: Cross multiply
    311,932x = 638,618 × 638,618
  4. Step 4: Simplify right side
    311,932x = 407,832,949,924
  5. Step 5: Solve for x
    x = 407,832,949,924/311,932
  6. Step 6: Final answer
    x = 1,307,441.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.