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Finding the Third Proportional to 221,661 and 351,045

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Solution

The third proportional to 221,661 and 351,045 is: 555,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,661 : 351,045 = 351,045 : x
  2. Step 2: Convert to fraction form
    221,661/351,045 = 351,045/x
  3. Step 3: Cross multiply
    221,661x = 351,045 × 351,045
  4. Step 4: Simplify right side
    221,661x = 123,232,592,025
  5. Step 5: Solve for x
    x = 123,232,592,025/221,661
  6. Step 6: Final answer
    x = 555,950.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.