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Finding the Third Proportional to 30,015 and 63,135

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Solution

The third proportional to 30,015 and 63,135 is: 132,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,015 : 63,135 = 63,135 : x
  2. Step 2: Convert to fraction form
    30,015/63,135 = 63,135/x
  3. Step 3: Cross multiply
    30,015x = 63,135 × 63,135
  4. Step 4: Simplify right side
    30,015x = 3,986,028,225
  5. Step 5: Solve for x
    x = 3,986,028,225/30,015
  6. Step 6: Final answer
    x = 132,801.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.