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Finding the Third Proportional to 297,080 and 641,509

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Solution

The third proportional to 297,080 and 641,509 is: 1,385,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,080 : 641,509 = 641,509 : x
  2. Step 2: Convert to fraction form
    297,080/641,509 = 641,509/x
  3. Step 3: Cross multiply
    297,080x = 641,509 × 641,509
  4. Step 4: Simplify right side
    297,080x = 411,533,797,081
  5. Step 5: Solve for x
    x = 411,533,797,081/297,080
  6. Step 6: Final answer
    x = 1,385,262.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.