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Finding the Third Proportional to 320,008.22 and 687,462.19

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Solution

The third proportional to 320,008.22 and 687,462.19 is: 1,476,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,008.22 : 687,462.19 = 687,462.19 : x
  2. Step 2: Convert to fraction form
    320,008.22/687,462.19 = 687,462.19/x
  3. Step 3: Cross multiply
    320,008.22x = 687,462.19 × 687,462.19
  4. Step 4: Simplify right side
    320,008.22x = 472,604,259,242.29
  5. Step 5: Solve for x
    x = 472,604,259,242.29/320,008.22
  6. Step 6: Final answer
    x = 1,476,850.38

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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.