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Finding the Third Proportional to 319,387 and 691,370

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Solution

The third proportional to 319,387 and 691,370 is: 1,496,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,387 : 691,370 = 691,370 : x
  2. Step 2: Convert to fraction form
    319,387/691,370 = 691,370/x
  3. Step 3: Cross multiply
    319,387x = 691,370 × 691,370
  4. Step 4: Simplify right side
    319,387x = 477,992,476,900
  5. Step 5: Solve for x
    x = 477,992,476,900/319,387
  6. Step 6: Final answer
    x = 1,496,593.40

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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.