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Finding the Third Proportional to 211,168 and 439,748

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Solution

The third proportional to 211,168 and 439,748 is: 915,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,168 : 439,748 = 439,748 : x
  2. Step 2: Convert to fraction form
    211,168/439,748 = 439,748/x
  3. Step 3: Cross multiply
    211,168x = 439,748 × 439,748
  4. Step 4: Simplify right side
    211,168x = 193,378,303,504
  5. Step 5: Solve for x
    x = 193,378,303,504/211,168
  6. Step 6: Final answer
    x = 915,755.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.