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Finding the Third Proportional to 320,940 and 696,312

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Solution

The third proportional to 320,940 and 696,312 is: 1,510,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,940 : 696,312 = 696,312 : x
  2. Step 2: Convert to fraction form
    320,940/696,312 = 696,312/x
  3. Step 3: Cross multiply
    320,940x = 696,312 × 696,312
  4. Step 4: Simplify right side
    320,940x = 484,850,401,344
  5. Step 5: Solve for x
    x = 484,850,401,344/320,940
  6. Step 6: Final answer
    x = 1,510,719.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.