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Finding the Third Proportional to 320,238 and 687,963

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Solution

The third proportional to 320,238 and 687,963 is: 1,477,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,238 : 687,963 = 687,963 : x
  2. Step 2: Convert to fraction form
    320,238/687,963 = 687,963/x
  3. Step 3: Cross multiply
    320,238x = 687,963 × 687,963
  4. Step 4: Simplify right side
    320,238x = 473,293,089,369
  5. Step 5: Solve for x
    x = 473,293,089,369/320,238
  6. Step 6: Final answer
    x = 1,477,941.69

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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.