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Finding the Third Proportional to 51,836 and 80,044

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Solution

The third proportional to 51,836 and 80,044 is: 123,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836 : 80,044 = 80,044 : x
  2. Step 2: Convert to fraction form
    51,836/80,044 = 80,044/x
  3. Step 3: Cross multiply
    51,836x = 80,044 × 80,044
  4. Step 4: Simplify right side
    51,836x = 6,407,041,936
  5. Step 5: Solve for x
    x = 6,407,041,936/51,836
  6. Step 6: Final answer
    x = 123,602.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.