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Finding the Third Proportional to 211,290.75 and 498,276

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Solution

The third proportional to 211,290.75 and 498,276 is: 1,175,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,290.75 : 498,276 = 498,276 : x
  2. Step 2: Convert to fraction form
    211,290.75/498,276 = 498,276/x
  3. Step 3: Cross multiply
    211,290.75x = 498,276 × 498,276
  4. Step 4: Simplify right side
    211,290.75x = 248,278,972,176
  5. Step 5: Solve for x
    x = 248,278,972,176/211,290.75
  6. Step 6: Final answer
    x = 1,175,058.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.