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Finding the Third Proportional to 117,800 and 245,543

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Solution

The third proportional to 117,800 and 245,543 is: 511,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,800 : 245,543 = 245,543 : x
  2. Step 2: Convert to fraction form
    117,800/245,543 = 245,543/x
  3. Step 3: Cross multiply
    117,800x = 245,543 × 245,543
  4. Step 4: Simplify right side
    117,800x = 60,291,364,849
  5. Step 5: Solve for x
    x = 60,291,364,849/117,800
  6. Step 6: Final answer
    x = 511,811.25

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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.