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Finding the Third Proportional to 221,426 and 352,500

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Solution

The third proportional to 221,426 and 352,500 is: 561,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,426 : 352,500 = 352,500 : x
  2. Step 2: Convert to fraction form
    221,426/352,500 = 352,500/x
  3. Step 3: Cross multiply
    221,426x = 352,500 × 352,500
  4. Step 4: Simplify right side
    221,426x = 124,256,250,000
  5. Step 5: Solve for x
    x = 124,256,250,000/221,426
  6. Step 6: Final answer
    x = 561,163.77

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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.