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Finding the Third Proportional to 208,618 and 448,686

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Solution

The third proportional to 208,618 and 448,686 is: 965,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,618 : 448,686 = 448,686 : x
  2. Step 2: Convert to fraction form
    208,618/448,686 = 448,686/x
  3. Step 3: Cross multiply
    208,618x = 448,686 × 448,686
  4. Step 4: Simplify right side
    208,618x = 201,319,126,596
  5. Step 5: Solve for x
    x = 201,319,126,596/208,618
  6. Step 6: Final answer
    x = 965,013.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.