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Finding the Third Proportional to 78,098 and 169,219

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Solution

The third proportional to 78,098 and 169,219 is: 366,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098 : 169,219 = 169,219 : x
  2. Step 2: Convert to fraction form
    78,098/169,219 = 169,219/x
  3. Step 3: Cross multiply
    78,098x = 169,219 × 169,219
  4. Step 4: Simplify right side
    78,098x = 28,635,069,961
  5. Step 5: Solve for x
    x = 28,635,069,961/78,098
  6. Step 6: Final answer
    x = 366,655.61

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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.