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Finding the Third Proportional to 221,415 and 352,485

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Solution

The third proportional to 221,415 and 352,485 is: 561,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,415 : 352,485 = 352,485 : x
  2. Step 2: Convert to fraction form
    221,415/352,485 = 352,485/x
  3. Step 3: Cross multiply
    221,415x = 352,485 × 352,485
  4. Step 4: Simplify right side
    221,415x = 124,245,675,225
  5. Step 5: Solve for x
    x = 124,245,675,225/221,415
  6. Step 6: Final answer
    x = 561,143.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.