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Finding the Third Proportional to 30,007.50 and 65,415

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Solution

The third proportional to 30,007.50 and 65,415 is: 142,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.50 : 65,415 = 65,415 : x
  2. Step 2: Convert to fraction form
    30,007.50/65,415 = 65,415/x
  3. Step 3: Cross multiply
    30,007.50x = 65,415 × 65,415
  4. Step 4: Simplify right side
    30,007.50x = 4,279,122,225
  5. Step 5: Solve for x
    x = 4,279,122,225/30,007.50
  6. Step 6: Final answer
    x = 142,601.76

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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.