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Finding the Third Proportional to 115,209 and 238,623

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Solution

The third proportional to 115,209 and 238,623 is: 494,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,209 : 238,623 = 238,623 : x
  2. Step 2: Convert to fraction form
    115,209/238,623 = 238,623/x
  3. Step 3: Cross multiply
    115,209x = 238,623 × 238,623
  4. Step 4: Simplify right side
    115,209x = 56,940,936,129
  5. Step 5: Solve for x
    x = 56,940,936,129/115,209
  6. Step 6: Final answer
    x = 494,240.35

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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.