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Finding the Third Proportional to 320,290 and 479,545

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Solution

The third proportional to 320,290 and 479,545 is: 717,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,290 : 479,545 = 479,545 : x
  2. Step 2: Convert to fraction form
    320,290/479,545 = 479,545/x
  3. Step 3: Cross multiply
    320,290x = 479,545 × 479,545
  4. Step 4: Simplify right side
    320,290x = 229,963,407,025
  5. Step 5: Solve for x
    x = 229,963,407,025/320,290
  6. Step 6: Final answer
    x = 717,984.97

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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.