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Finding the Third Proportional to 135,173 and 197,623

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Solution

The third proportional to 135,173 and 197,623 is: 288,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,173 : 197,623 = 197,623 : x
  2. Step 2: Convert to fraction form
    135,173/197,623 = 197,623/x
  3. Step 3: Cross multiply
    135,173x = 197,623 × 197,623
  4. Step 4: Simplify right side
    135,173x = 39,054,850,129
  5. Step 5: Solve for x
    x = 39,054,850,129/135,173
  6. Step 6: Final answer
    x = 288,924.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.