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Finding the Third Proportional to 78,458.63 and 171,588.38

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Solution

The third proportional to 78,458.63 and 171,588.38 is: 375,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.63 : 171,588.38 = 171,588.38 : x
  2. Step 2: Convert to fraction form
    78,458.63/171,588.38 = 171,588.38/x
  3. Step 3: Cross multiply
    78,458.63x = 171,588.38 × 171,588.38
  4. Step 4: Simplify right side
    78,458.63x = 29,442,570,435.14
  5. Step 5: Solve for x
    x = 29,442,570,435.14/78,458.63
  6. Step 6: Final answer
    x = 375,262.38

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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.