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Finding the Third Proportional to 30,015 and 65,315.25

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Solution

The third proportional to 30,015 and 65,315.25 is: 142,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,015 : 65,315.25 = 65,315.25 : x
  2. Step 2: Convert to fraction form
    30,015/65,315.25 = 65,315.25/x
  3. Step 3: Cross multiply
    30,015x = 65,315.25 × 65,315.25
  4. Step 4: Simplify right side
    30,015x = 4,266,081,882.56
  5. Step 5: Solve for x
    x = 4,266,081,882.56/30,015
  6. Step 6: Final answer
    x = 142,131.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.