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Finding the Third Proportional to 320,124 and 686,904

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Solution

The third proportional to 320,124 and 686,904 is: 1,473,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,124 : 686,904 = 686,904 : x
  2. Step 2: Convert to fraction form
    320,124/686,904 = 686,904/x
  3. Step 3: Cross multiply
    320,124x = 686,904 × 686,904
  4. Step 4: Simplify right side
    320,124x = 471,837,105,216
  5. Step 5: Solve for x
    x = 471,837,105,216/320,124
  6. Step 6: Final answer
    x = 1,473,919.81

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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.