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Finding the Third Proportional to 311,202 and 480,618

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Solution

The third proportional to 311,202 and 480,618 is: 742,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,202 : 480,618 = 480,618 : x
  2. Step 2: Convert to fraction form
    311,202/480,618 = 480,618/x
  3. Step 3: Cross multiply
    311,202x = 480,618 × 480,618
  4. Step 4: Simplify right side
    311,202x = 230,993,661,924
  5. Step 5: Solve for x
    x = 230,993,661,924/311,202
  6. Step 6: Final answer
    x = 742,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.