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Finding the Third Proportional to 77,869 and 169,658

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Solution

The third proportional to 77,869 and 169,658 is: 369,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,869 : 169,658 = 169,658 : x
  2. Step 2: Convert to fraction form
    77,869/169,658 = 169,658/x
  3. Step 3: Cross multiply
    77,869x = 169,658 × 169,658
  4. Step 4: Simplify right side
    77,869x = 28,783,836,964
  5. Step 5: Solve for x
    x = 28,783,836,964/77,869
  6. Step 6: Final answer
    x = 369,644.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.