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Finding the Third Proportional to 221,400 and 352,463.63

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Solution

The third proportional to 221,400 and 352,463.63 is: 561,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,400 : 352,463.63 = 352,463.63 : x
  2. Step 2: Convert to fraction form
    221,400/352,463.63 = 352,463.63/x
  3. Step 3: Cross multiply
    221,400x = 352,463.63 × 352,463.63
  4. Step 4: Simplify right side
    221,400x = 124,230,606,948.14
  5. Step 5: Solve for x
    x = 124,230,606,948.14/221,400
  6. Step 6: Final answer
    x = 561,113.85

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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.