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Finding the Third Proportional to 316,096 and 480,288

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Solution

The third proportional to 316,096 and 480,288 is: 729,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,096 : 480,288 = 480,288 : x
  2. Step 2: Convert to fraction form
    316,096/480,288 = 480,288/x
  3. Step 3: Cross multiply
    316,096x = 480,288 × 480,288
  4. Step 4: Simplify right side
    316,096x = 230,676,562,944
  5. Step 5: Solve for x
    x = 230,676,562,944/316,096
  6. Step 6: Final answer
    x = 729,767.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.