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Finding the Third Proportional to 207,178 and 319,923

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Solution

The third proportional to 207,178 and 319,923 is: 494,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,178 : 319,923 = 319,923 : x
  2. Step 2: Convert to fraction form
    207,178/319,923 = 319,923/x
  3. Step 3: Cross multiply
    207,178x = 319,923 × 319,923
  4. Step 4: Simplify right side
    207,178x = 102,350,725,929
  5. Step 5: Solve for x
    x = 102,350,725,929/207,178
  6. Step 6: Final answer
    x = 494,023.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.