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Finding the Third Proportional to 74,984 and 177,012

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Solution

The third proportional to 74,984 and 177,012 is: 417,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,984 : 177,012 = 177,012 : x
  2. Step 2: Convert to fraction form
    74,984/177,012 = 177,012/x
  3. Step 3: Cross multiply
    74,984x = 177,012 × 177,012
  4. Step 4: Simplify right side
    74,984x = 31,333,248,144
  5. Step 5: Solve for x
    x = 31,333,248,144/74,984
  6. Step 6: Final answer
    x = 417,865.79

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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.