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Finding the Third Proportional to 123,539 and 251,574

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Solution

The third proportional to 123,539 and 251,574 is: 512,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,539 : 251,574 = 251,574 : x
  2. Step 2: Convert to fraction form
    123,539/251,574 = 251,574/x
  3. Step 3: Cross multiply
    123,539x = 251,574 × 251,574
  4. Step 4: Simplify right side
    123,539x = 63,289,477,476
  5. Step 5: Solve for x
    x = 63,289,477,476/123,539
  6. Step 6: Final answer
    x = 512,303.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.