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Finding the Third Proportional to 103,618 and 221,942

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Solution

The third proportional to 103,618 and 221,942 is: 475,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618 : 221,942 = 221,942 : x
  2. Step 2: Convert to fraction form
    103,618/221,942 = 221,942/x
  3. Step 3: Cross multiply
    103,618x = 221,942 × 221,942
  4. Step 4: Simplify right side
    103,618x = 49,258,251,364
  5. Step 5: Solve for x
    x = 49,258,251,364/103,618
  6. Step 6: Final answer
    x = 475,383.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.