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Finding the Third Proportional to 51,672 and 77,164

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Solution

The third proportional to 51,672 and 77,164 is: 115,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672 : 77,164 = 77,164 : x
  2. Step 2: Convert to fraction form
    51,672/77,164 = 77,164/x
  3. Step 3: Cross multiply
    51,672x = 77,164 × 77,164
  4. Step 4: Simplify right side
    51,672x = 5,954,282,896
  5. Step 5: Solve for x
    x = 5,954,282,896/51,672
  6. Step 6: Final answer
    x = 115,232.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.