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Finding the Third Proportional to 201,618 and 313,589

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Solution

The third proportional to 201,618 and 313,589 is: 487,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,618 : 313,589 = 313,589 : x
  2. Step 2: Convert to fraction form
    201,618/313,589 = 313,589/x
  3. Step 3: Cross multiply
    201,618x = 313,589 × 313,589
  4. Step 4: Simplify right side
    201,618x = 98,338,060,921
  5. Step 5: Solve for x
    x = 98,338,060,921/201,618
  6. Step 6: Final answer
    x = 487,744.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.