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Finding the Third Proportional to 111,539 and 245,313

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Solution

The third proportional to 111,539 and 245,313 is: 539,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,539 : 245,313 = 245,313 : x
  2. Step 2: Convert to fraction form
    111,539/245,313 = 245,313/x
  3. Step 3: Cross multiply
    111,539x = 245,313 × 245,313
  4. Step 4: Simplify right side
    111,539x = 60,178,467,969
  5. Step 5: Solve for x
    x = 60,178,467,969/111,539
  6. Step 6: Final answer
    x = 539,528.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.