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Finding the Third Proportional to 320,234.06 and 687,954.38

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Solution

The third proportional to 320,234.06 and 687,954.38 is: 1,477,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,234.06 : 687,954.38 = 687,954.38 : x
  2. Step 2: Convert to fraction form
    320,234.06/687,954.38 = 687,954.38/x
  3. Step 3: Cross multiply
    320,234.06x = 687,954.38 × 687,954.38
  4. Step 4: Simplify right side
    320,234.06x = 473,281,222,081.64
  5. Step 5: Solve for x
    x = 473,281,222,081.64/320,234.06
  6. Step 6: Final answer
    x = 1,477,922.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.