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Finding the Third Proportional to 38,618 and 90,223

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Solution

The third proportional to 38,618 and 90,223 is: 210,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,618 : 90,223 = 90,223 : x
  2. Step 2: Convert to fraction form
    38,618/90,223 = 90,223/x
  3. Step 3: Cross multiply
    38,618x = 90,223 × 90,223
  4. Step 4: Simplify right side
    38,618x = 8,140,189,729
  5. Step 5: Solve for x
    x = 8,140,189,729/38,618
  6. Step 6: Final answer
    x = 210,787.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.