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Finding the Third Proportional to 319,416 and 691,992

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Solution

The third proportional to 319,416 and 691,992 is: 1,499,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,416 : 691,992 = 691,992 : x
  2. Step 2: Convert to fraction form
    319,416/691,992 = 691,992/x
  3. Step 3: Cross multiply
    319,416x = 691,992 × 691,992
  4. Step 4: Simplify right side
    319,416x = 478,852,928,064
  5. Step 5: Solve for x
    x = 478,852,928,064/319,416
  6. Step 6: Final answer
    x = 1,499,151.35

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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.