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Finding the Third Proportional to 319,673.25 and 477,321.75

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Solution

The third proportional to 319,673.25 and 477,321.75 is: 712,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,673.25 : 477,321.75 = 477,321.75 : x
  2. Step 2: Convert to fraction form
    319,673.25/477,321.75 = 477,321.75/x
  3. Step 3: Cross multiply
    319,673.25x = 477,321.75 × 477,321.75
  4. Step 4: Simplify right side
    319,673.25x = 227,836,053,023.06
  5. Step 5: Solve for x
    x = 227,836,053,023.06/319,673.25
  6. Step 6: Final answer
    x = 712,715.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.