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Finding the Third Proportional to 256,916 and 395,202

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Solution

The third proportional to 256,916 and 395,202 is: 607,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,916 : 395,202 = 395,202 : x
  2. Step 2: Convert to fraction form
    256,916/395,202 = 395,202/x
  3. Step 3: Cross multiply
    256,916x = 395,202 × 395,202
  4. Step 4: Simplify right side
    256,916x = 156,184,620,804
  5. Step 5: Solve for x
    x = 156,184,620,804/256,916
  6. Step 6: Final answer
    x = 607,920.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.