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Finding the Third Proportional to 291,069 and 441,522

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Solution

The third proportional to 291,069 and 441,522 is: 669,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,069 : 441,522 = 441,522 : x
  2. Step 2: Convert to fraction form
    291,069/441,522 = 441,522/x
  3. Step 3: Cross multiply
    291,069x = 441,522 × 441,522
  4. Step 4: Simplify right side
    291,069x = 194,941,676,484
  5. Step 5: Solve for x
    x = 194,941,676,484/291,069
  6. Step 6: Final answer
    x = 669,743.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.