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Finding the Third Proportional to 66,984.50 and 144,485

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Solution

The third proportional to 66,984.50 and 144,485 is: 311,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,984.50 : 144,485 = 144,485 : x
  2. Step 2: Convert to fraction form
    66,984.50/144,485 = 144,485/x
  3. Step 3: Cross multiply
    66,984.50x = 144,485 × 144,485
  4. Step 4: Simplify right side
    66,984.50x = 20,875,915,225
  5. Step 5: Solve for x
    x = 20,875,915,225/66,984.50
  6. Step 6: Final answer
    x = 311,652.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.