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Finding the Third Proportional to 319,916 and 486,782

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Solution

The third proportional to 319,916 and 486,782 is: 740,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,916 : 486,782 = 486,782 : x
  2. Step 2: Convert to fraction form
    319,916/486,782 = 486,782/x
  3. Step 3: Cross multiply
    319,916x = 486,782 × 486,782
  4. Step 4: Simplify right side
    319,916x = 236,956,715,524
  5. Step 5: Solve for x
    x = 236,956,715,524/319,916
  6. Step 6: Final answer
    x = 740,684.17

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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.