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Finding the Third Proportional to 221,618 and 301,323

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Solution

The third proportional to 221,618 and 301,323 is: 409,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,618 : 301,323 = 301,323 : x
  2. Step 2: Convert to fraction form
    221,618/301,323 = 301,323/x
  3. Step 3: Cross multiply
    221,618x = 301,323 × 301,323
  4. Step 4: Simplify right side
    221,618x = 90,795,550,329
  5. Step 5: Solve for x
    x = 90,795,550,329/221,618
  6. Step 6: Final answer
    x = 409,693.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.