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Finding the Third Proportional to 15,427 and 31,947

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Solution

The third proportional to 15,427 and 31,947 is: 66,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427 : 31,947 = 31,947 : x
  2. Step 2: Convert to fraction form
    15,427/31,947 = 31,947/x
  3. Step 3: Cross multiply
    15,427x = 31,947 × 31,947
  4. Step 4: Simplify right side
    15,427x = 1,020,610,809
  5. Step 5: Solve for x
    x = 1,020,610,809/15,427
  6. Step 6: Final answer
    x = 66,157.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.