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Finding the Third Proportional to 77,014 and 169,148

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Solution

The third proportional to 77,014 and 169,148 is: 371,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,014 : 169,148 = 169,148 : x
  2. Step 2: Convert to fraction form
    77,014/169,148 = 169,148/x
  3. Step 3: Cross multiply
    77,014x = 169,148 × 169,148
  4. Step 4: Simplify right side
    77,014x = 28,611,045,904
  5. Step 5: Solve for x
    x = 28,611,045,904/77,014
  6. Step 6: Final answer
    x = 371,504.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.