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Finding the Third Proportional to 51,678 and 73,143.84

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Solution

The third proportional to 51,678 and 73,143.84 is: 103,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678 : 73,143.84 = 73,143.84 : x
  2. Step 2: Convert to fraction form
    51,678/73,143.84 = 73,143.84/x
  3. Step 3: Cross multiply
    51,678x = 73,143.84 × 73,143.84
  4. Step 4: Simplify right side
    51,678x = 5,350,021,878.52
  5. Step 5: Solve for x
    x = 5,350,021,878.52/51,678
  6. Step 6: Final answer
    x = 103,526.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.