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Finding the Third Proportional to 78,203.81 and 171,633.94

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Solution

The third proportional to 78,203.81 and 171,633.94 is: 376,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.81 : 171,633.94 = 171,633.94 : x
  2. Step 2: Convert to fraction form
    78,203.81/171,633.94 = 171,633.94/x
  3. Step 3: Cross multiply
    78,203.81x = 171,633.94 × 171,633.94
  4. Step 4: Simplify right side
    78,203.81x = 29,458,208,501.75
  5. Step 5: Solve for x
    x = 29,458,208,501.75/78,203.81
  6. Step 6: Final answer
    x = 376,685.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.