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Finding the Third Proportional to 36,576 and 78,689.25

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Solution

The third proportional to 36,576 and 78,689.25 is: 169,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576 : 78,689.25 = 78,689.25 : x
  2. Step 2: Convert to fraction form
    36,576/78,689.25 = 78,689.25/x
  3. Step 3: Cross multiply
    36,576x = 78,689.25 × 78,689.25
  4. Step 4: Simplify right side
    36,576x = 6,191,998,065.56
  5. Step 5: Solve for x
    x = 6,191,998,065.56/36,576
  6. Step 6: Final answer
    x = 169,291.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.