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Finding the Third Proportional to 19,618 and 27,947

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Solution

The third proportional to 19,618 and 27,947 is: 39,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618 : 27,947 = 27,947 : x
  2. Step 2: Convert to fraction form
    19,618/27,947 = 27,947/x
  3. Step 3: Cross multiply
    19,618x = 27,947 × 27,947
  4. Step 4: Simplify right side
    19,618x = 781,034,809
  5. Step 5: Solve for x
    x = 781,034,809/19,618
  6. Step 6: Final answer
    x = 39,812.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.