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Finding the Third Proportional to 303,551 and 445,485

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Solution

The third proportional to 303,551 and 445,485 is: 653,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,551 : 445,485 = 445,485 : x
  2. Step 2: Convert to fraction form
    303,551/445,485 = 445,485/x
  3. Step 3: Cross multiply
    303,551x = 445,485 × 445,485
  4. Step 4: Simplify right side
    303,551x = 198,456,885,225
  5. Step 5: Solve for x
    x = 198,456,885,225/303,551
  6. Step 6: Final answer
    x = 653,784.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.