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Finding the Third Proportional to 319,767.75 and 687,922.50

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Solution

The third proportional to 319,767.75 and 687,922.50 is: 1,479,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,767.75 : 687,922.50 = 687,922.50 : x
  2. Step 2: Convert to fraction form
    319,767.75/687,922.50 = 687,922.50/x
  3. Step 3: Cross multiply
    319,767.75x = 687,922.50 × 687,922.50
  4. Step 4: Simplify right side
    319,767.75x = 473,237,366,006.25
  5. Step 5: Solve for x
    x = 473,237,366,006.25/319,767.75
  6. Step 6: Final answer
    x = 1,479,940.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.