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Finding the Third Proportional to 71,254 and 110,476

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Solution

The third proportional to 71,254 and 110,476 is: 171,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254 : 110,476 = 110,476 : x
  2. Step 2: Convert to fraction form
    71,254/110,476 = 110,476/x
  3. Step 3: Cross multiply
    71,254x = 110,476 × 110,476
  4. Step 4: Simplify right side
    71,254x = 12,204,946,576
  5. Step 5: Solve for x
    x = 12,204,946,576/71,254
  6. Step 6: Final answer
    x = 171,287.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.