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Finding the Third Proportional to 355,920 and 479,400

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Solution

The third proportional to 355,920 and 479,400 is: 645,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,920 : 479,400 = 479,400 : x
  2. Step 2: Convert to fraction form
    355,920/479,400 = 479,400/x
  3. Step 3: Cross multiply
    355,920x = 479,400 × 479,400
  4. Step 4: Simplify right side
    355,920x = 229,824,360,000
  5. Step 5: Solve for x
    x = 229,824,360,000/355,920
  6. Step 6: Final answer
    x = 645,719.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.