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Finding the Third Proportional to 320,676 and 692,742

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Solution

The third proportional to 320,676 and 692,742 is: 1,496,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,676 : 692,742 = 692,742 : x
  2. Step 2: Convert to fraction form
    320,676/692,742 = 692,742/x
  3. Step 3: Cross multiply
    320,676x = 692,742 × 692,742
  4. Step 4: Simplify right side
    320,676x = 479,891,478,564
  5. Step 5: Solve for x
    x = 479,891,478,564/320,676
  6. Step 6: Final answer
    x = 1,496,499.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.