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Finding the Third Proportional to 320,272 and 478,616

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Solution

The third proportional to 320,272 and 478,616 is: 715,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,272 : 478,616 = 478,616 : x
  2. Step 2: Convert to fraction form
    320,272/478,616 = 478,616/x
  3. Step 3: Cross multiply
    320,272x = 478,616 × 478,616
  4. Step 4: Simplify right side
    320,272x = 229,073,275,456
  5. Step 5: Solve for x
    x = 229,073,275,456/320,272
  6. Step 6: Final answer
    x = 715,246.03

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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.