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Finding the Third Proportional to 320,520 and 683,943

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Solution

The third proportional to 320,520 and 683,943 is: 1,459,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,520 : 683,943 = 683,943 : x
  2. Step 2: Convert to fraction form
    320,520/683,943 = 683,943/x
  3. Step 3: Cross multiply
    320,520x = 683,943 × 683,943
  4. Step 4: Simplify right side
    320,520x = 467,778,027,249
  5. Step 5: Solve for x
    x = 467,778,027,249/320,520
  6. Step 6: Final answer
    x = 1,459,434.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.