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Finding the Third Proportional to 78,868.13 and 171,045

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Solution

The third proportional to 78,868.13 and 171,045 is: 370,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,868.13 : 171,045 = 171,045 : x
  2. Step 2: Convert to fraction form
    78,868.13/171,045 = 171,045/x
  3. Step 3: Cross multiply
    78,868.13x = 171,045 × 171,045
  4. Step 4: Simplify right side
    78,868.13x = 29,256,392,025
  5. Step 5: Solve for x
    x = 29,256,392,025/78,868.13
  6. Step 6: Final answer
    x = 370,953.31

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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.