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Finding the Third Proportional to 221,546 and 332,541

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Solution

The third proportional to 221,546 and 332,541 is: 499,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,546 : 332,541 = 332,541 : x
  2. Step 2: Convert to fraction form
    221,546/332,541 = 332,541/x
  3. Step 3: Cross multiply
    221,546x = 332,541 × 332,541
  4. Step 4: Simplify right side
    221,546x = 110,583,516,681
  5. Step 5: Solve for x
    x = 110,583,516,681/221,546
  6. Step 6: Final answer
    x = 499,144.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.