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Finding the Third Proportional to 309,028 and 651,266

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Solution

The third proportional to 309,028 and 651,266 is: 1,372,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,028 : 651,266 = 651,266 : x
  2. Step 2: Convert to fraction form
    309,028/651,266 = 651,266/x
  3. Step 3: Cross multiply
    309,028x = 651,266 × 651,266
  4. Step 4: Simplify right side
    309,028x = 424,147,402,756
  5. Step 5: Solve for x
    x = 424,147,402,756/309,028
  6. Step 6: Final answer
    x = 1,372,520.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.