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Finding the Third Proportional to 319,678 and 477,328

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Solution

The third proportional to 319,678 and 477,328 is: 712,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,678 : 477,328 = 477,328 : x
  2. Step 2: Convert to fraction form
    319,678/477,328 = 477,328/x
  3. Step 3: Cross multiply
    319,678x = 477,328 × 477,328
  4. Step 4: Simplify right side
    319,678x = 227,842,019,584
  5. Step 5: Solve for x
    x = 227,842,019,584/319,678
  6. Step 6: Final answer
    x = 712,723.49

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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.