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Finding the Third Proportional to 319,383 and 691,362

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Solution

The third proportional to 319,383 and 691,362 is: 1,496,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,383 : 691,362 = 691,362 : x
  2. Step 2: Convert to fraction form
    319,383/691,362 = 691,362/x
  3. Step 3: Cross multiply
    319,383x = 691,362 × 691,362
  4. Step 4: Simplify right side
    319,383x = 477,981,415,044
  5. Step 5: Solve for x
    x = 477,981,415,044/319,383
  6. Step 6: Final answer
    x = 1,496,577.51

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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.