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Finding the Third Proportional to 51,412.50 and 78,579

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Solution

The third proportional to 51,412.50 and 78,579 is: 120,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412.50 : 78,579 = 78,579 : x
  2. Step 2: Convert to fraction form
    51,412.50/78,579 = 78,579/x
  3. Step 3: Cross multiply
    51,412.50x = 78,579 × 78,579
  4. Step 4: Simplify right side
    51,412.50x = 6,174,659,241
  5. Step 5: Solve for x
    x = 6,174,659,241/51,412.50
  6. Step 6: Final answer
    x = 120,100.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.