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Finding the Third Proportional to 320,433 and 691,529

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Solution

The third proportional to 320,433 and 691,529 is: 1,492,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,433 : 691,529 = 691,529 : x
  2. Step 2: Convert to fraction form
    320,433/691,529 = 691,529/x
  3. Step 3: Cross multiply
    320,433x = 691,529 × 691,529
  4. Step 4: Simplify right side
    320,433x = 478,212,357,841
  5. Step 5: Solve for x
    x = 478,212,357,841/320,433
  6. Step 6: Final answer
    x = 1,492,394.22

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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.