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Finding the Third Proportional to 78,102 and 171,018

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Solution

The third proportional to 78,102 and 171,018 is: 374,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,102 : 171,018 = 171,018 : x
  2. Step 2: Convert to fraction form
    78,102/171,018 = 171,018/x
  3. Step 3: Cross multiply
    78,102x = 171,018 × 171,018
  4. Step 4: Simplify right side
    78,102x = 29,247,156,324
  5. Step 5: Solve for x
    x = 29,247,156,324/78,102
  6. Step 6: Final answer
    x = 374,473.85

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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.