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Finding the Third Proportional to 221,420 and 352,494

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Solution

The third proportional to 221,420 and 352,494 is: 561,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,420 : 352,494 = 352,494 : x
  2. Step 2: Convert to fraction form
    221,420/352,494 = 352,494/x
  3. Step 3: Cross multiply
    221,420x = 352,494 × 352,494
  4. Step 4: Simplify right side
    221,420x = 124,252,020,036
  5. Step 5: Solve for x
    x = 124,252,020,036/221,420
  6. Step 6: Final answer
    x = 561,159.88

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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.