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Finding the Third Proportional to 75,009 and 177,066

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Solution

The third proportional to 75,009 and 177,066 is: 417,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,009 : 177,066 = 177,066 : x
  2. Step 2: Convert to fraction form
    75,009/177,066 = 177,066/x
  3. Step 3: Cross multiply
    75,009x = 177,066 × 177,066
  4. Step 4: Simplify right side
    75,009x = 31,352,368,356
  5. Step 5: Solve for x
    x = 31,352,368,356/75,009
  6. Step 6: Final answer
    x = 417,981.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.