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Finding the Third Proportional to 19,548 and 31,476

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Solution

The third proportional to 19,548 and 31,476 is: 50,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548 : 31,476 = 31,476 : x
  2. Step 2: Convert to fraction form
    19,548/31,476 = 31,476/x
  3. Step 3: Cross multiply
    19,548x = 31,476 × 31,476
  4. Step 4: Simplify right side
    19,548x = 990,738,576
  5. Step 5: Solve for x
    x = 990,738,576/19,548
  6. Step 6: Final answer
    x = 50,682.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.