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Finding the Third Proportional to 319,900.50 and 691,029

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Solution

The third proportional to 319,900.50 and 691,029 is: 1,492,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,900.50 : 691,029 = 691,029 : x
  2. Step 2: Convert to fraction form
    319,900.50/691,029 = 691,029/x
  3. Step 3: Cross multiply
    319,900.50x = 691,029 × 691,029
  4. Step 4: Simplify right side
    319,900.50x = 477,521,078,841
  5. Step 5: Solve for x
    x = 477,521,078,841/319,900.50
  6. Step 6: Final answer
    x = 1,492,717.51

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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.