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Finding the Third Proportional to 117,940 and 252,476

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Solution

The third proportional to 117,940 and 252,476 is: 540,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,940 : 252,476 = 252,476 : x
  2. Step 2: Convert to fraction form
    117,940/252,476 = 252,476/x
  3. Step 3: Cross multiply
    117,940x = 252,476 × 252,476
  4. Step 4: Simplify right side
    117,940x = 63,744,130,576
  5. Step 5: Solve for x
    x = 63,744,130,576/117,940
  6. Step 6: Final answer
    x = 540,479.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.