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Finding the Third Proportional to 177,950 and 387,004

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Solution

The third proportional to 177,950 and 387,004 is: 841,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,950 : 387,004 = 387,004 : x
  2. Step 2: Convert to fraction form
    177,950/387,004 = 387,004/x
  3. Step 3: Cross multiply
    177,950x = 387,004 × 387,004
  4. Step 4: Simplify right side
    177,950x = 149,772,096,016
  5. Step 5: Solve for x
    x = 149,772,096,016/177,950
  6. Step 6: Final answer
    x = 841,652.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.