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Finding the Third Proportional to 78,804.75 and 171,004.88

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Solution

The third proportional to 78,804.75 and 171,004.88 is: 371,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,804.75 : 171,004.88 = 171,004.88 : x
  2. Step 2: Convert to fraction form
    78,804.75/171,004.88 = 171,004.88/x
  3. Step 3: Cross multiply
    78,804.75x = 171,004.88 × 171,004.88
  4. Step 4: Simplify right side
    78,804.75x = 29,242,667,273.77
  5. Step 5: Solve for x
    x = 29,242,667,273.77/78,804.75
  6. Step 6: Final answer
    x = 371,077.47

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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.