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Finding the Third Proportional to 319,144 and 691,478

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Solution

The third proportional to 319,144 and 691,478 is: 1,498,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,144 : 691,478 = 691,478 : x
  2. Step 2: Convert to fraction form
    319,144/691,478 = 691,478/x
  3. Step 3: Cross multiply
    319,144x = 691,478 × 691,478
  4. Step 4: Simplify right side
    319,144x = 478,141,824,484
  5. Step 5: Solve for x
    x = 478,141,824,484/319,144
  6. Step 6: Final answer
    x = 1,498,200.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.