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Finding the Third Proportional to 320,282 and 463,875

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Solution

The third proportional to 320,282 and 463,875 is: 671,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,282 : 463,875 = 463,875 : x
  2. Step 2: Convert to fraction form
    320,282/463,875 = 463,875/x
  3. Step 3: Cross multiply
    320,282x = 463,875 × 463,875
  4. Step 4: Simplify right side
    320,282x = 215,180,015,625
  5. Step 5: Solve for x
    x = 215,180,015,625/320,282
  6. Step 6: Final answer
    x = 671,845.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.