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Finding the Third Proportional to 102,410 and 211,923

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Solution

The third proportional to 102,410 and 211,923 is: 438,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,410 : 211,923 = 211,923 : x
  2. Step 2: Convert to fraction form
    102,410/211,923 = 211,923/x
  3. Step 3: Cross multiply
    102,410x = 211,923 × 211,923
  4. Step 4: Simplify right side
    102,410x = 44,911,357,929
  5. Step 5: Solve for x
    x = 44,911,357,929/102,410
  6. Step 6: Final answer
    x = 438,544.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.