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Finding the Third Proportional to 221,418.75 and 352,491

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Solution

The third proportional to 221,418.75 and 352,491 is: 561,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,418.75 : 352,491 = 352,491 : x
  2. Step 2: Convert to fraction form
    221,418.75/352,491 = 352,491/x
  3. Step 3: Cross multiply
    221,418.75x = 352,491 × 352,491
  4. Step 4: Simplify right side
    221,418.75x = 124,249,905,081
  5. Step 5: Solve for x
    x = 124,249,905,081/221,418.75
  6. Step 6: Final answer
    x = 561,153.49

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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.