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Finding the Third Proportional to 221,424 and 352,497

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Solution

The third proportional to 221,424 and 352,497 is: 561,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,424 : 352,497 = 352,497 : x
  2. Step 2: Convert to fraction form
    221,424/352,497 = 352,497/x
  3. Step 3: Cross multiply
    221,424x = 352,497 × 352,497
  4. Step 4: Simplify right side
    221,424x = 124,254,135,009
  5. Step 5: Solve for x
    x = 124,254,135,009/221,424
  6. Step 6: Final answer
    x = 561,159.29

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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.