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Finding the Third Proportional to 309,132 and 651,475

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Solution

The third proportional to 309,132 and 651,475 is: 1,372,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,132 : 651,475 = 651,475 : x
  2. Step 2: Convert to fraction form
    309,132/651,475 = 651,475/x
  3. Step 3: Cross multiply
    309,132x = 651,475 × 651,475
  4. Step 4: Simplify right side
    309,132x = 424,419,675,625
  5. Step 5: Solve for x
    x = 424,419,675,625/309,132
  6. Step 6: Final answer
    x = 1,372,939.96

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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.