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Finding the Third Proportional to 15,345 and 31,416.75

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Solution

The third proportional to 15,345 and 31,416.75 is: 64,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345 : 31,416.75 = 31,416.75 : x
  2. Step 2: Convert to fraction form
    15,345/31,416.75 = 31,416.75/x
  3. Step 3: Cross multiply
    15,345x = 31,416.75 × 31,416.75
  4. Step 4: Simplify right side
    15,345x = 987,012,180.56
  5. Step 5: Solve for x
    x = 987,012,180.56/15,345
  6. Step 6: Final answer
    x = 64,321.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.