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Finding the Third Proportional to 145,864 and 238,179

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Solution

The third proportional to 145,864 and 238,179 is: 388,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,864 : 238,179 = 238,179 : x
  2. Step 2: Convert to fraction form
    145,864/238,179 = 238,179/x
  3. Step 3: Cross multiply
    145,864x = 238,179 × 238,179
  4. Step 4: Simplify right side
    145,864x = 56,729,236,041
  5. Step 5: Solve for x
    x = 56,729,236,041/145,864
  6. Step 6: Final answer
    x = 388,918.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.