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Finding the Third Proportional to 320,128 and 479,354

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Solution

The third proportional to 320,128 and 479,354 is: 717,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,128 : 479,354 = 479,354 : x
  2. Step 2: Convert to fraction form
    320,128/479,354 = 479,354/x
  3. Step 3: Cross multiply
    320,128x = 479,354 × 479,354
  4. Step 4: Simplify right side
    320,128x = 229,780,257,316
  5. Step 5: Solve for x
    x = 229,780,257,316/320,128
  6. Step 6: Final answer
    x = 717,776.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.