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Finding the Third Proportional to 90,618 and 213,207

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Solution

The third proportional to 90,618 and 213,207 is: 501,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,618 : 213,207 = 213,207 : x
  2. Step 2: Convert to fraction form
    90,618/213,207 = 213,207/x
  3. Step 3: Cross multiply
    90,618x = 213,207 × 213,207
  4. Step 4: Simplify right side
    90,618x = 45,457,224,849
  5. Step 5: Solve for x
    x = 45,457,224,849/90,618
  6. Step 6: Final answer
    x = 501,635.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.