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Finding the Third Proportional to 132,868 and 221,446

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Solution

The third proportional to 132,868 and 221,446 is: 369,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,868 : 221,446 = 221,446 : x
  2. Step 2: Convert to fraction form
    132,868/221,446 = 221,446/x
  3. Step 3: Cross multiply
    132,868x = 221,446 × 221,446
  4. Step 4: Simplify right side
    132,868x = 49,038,330,916
  5. Step 5: Solve for x
    x = 49,038,330,916/132,868
  6. Step 6: Final answer
    x = 369,075.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.