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Finding the Third Proportional to 320,417 and 483,087

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Solution

The third proportional to 320,417 and 483,087 is: 728,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,417 : 483,087 = 483,087 : x
  2. Step 2: Convert to fraction form
    320,417/483,087 = 483,087/x
  3. Step 3: Cross multiply
    320,417x = 483,087 × 483,087
  4. Step 4: Simplify right side
    320,417x = 233,373,049,569
  5. Step 5: Solve for x
    x = 233,373,049,569/320,417
  6. Step 6: Final answer
    x = 728,341.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.