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Finding the Third Proportional to 320,238 and 696,852

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Solution

The third proportional to 320,238 and 696,852 is: 1,516,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,238 : 696,852 = 696,852 : x
  2. Step 2: Convert to fraction form
    320,238/696,852 = 696,852/x
  3. Step 3: Cross multiply
    320,238x = 696,852 × 696,852
  4. Step 4: Simplify right side
    320,238x = 485,602,709,904
  5. Step 5: Solve for x
    x = 485,602,709,904/320,238
  6. Step 6: Final answer
    x = 1,516,380.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.