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Finding the Third Proportional to 19,207 and 39,947

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Solution

The third proportional to 19,207 and 39,947 is: 83,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207 : 39,947 = 39,947 : x
  2. Step 2: Convert to fraction form
    19,207/39,947 = 39,947/x
  3. Step 3: Cross multiply
    19,207x = 39,947 × 39,947
  4. Step 4: Simplify right side
    19,207x = 1,595,762,809
  5. Step 5: Solve for x
    x = 1,595,762,809/19,207
  6. Step 6: Final answer
    x = 83,082.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.