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Finding the Third Proportional to 78,424.88 and 171,858.38

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Solution

The third proportional to 78,424.88 and 171,858.38 is: 376,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424.88 : 171,858.38 = 171,858.38 : x
  2. Step 2: Convert to fraction form
    78,424.88/171,858.38 = 171,858.38/x
  3. Step 3: Cross multiply
    78,424.88x = 171,858.38 × 171,858.38
  4. Step 4: Simplify right side
    78,424.88x = 29,535,301,057.64
  5. Step 5: Solve for x
    x = 29,535,301,057.64/78,424.88
  6. Step 6: Final answer
    x = 376,606.29

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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.