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Finding the Third Proportional to 256,935 and 395,230.50

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Solution

The third proportional to 256,935 and 395,230.50 is: 607,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,935 : 395,230.50 = 395,230.50 : x
  2. Step 2: Convert to fraction form
    256,935/395,230.50 = 395,230.50/x
  3. Step 3: Cross multiply
    256,935x = 395,230.50 × 395,230.50
  4. Step 4: Simplify right side
    256,935x = 156,207,148,130.25
  5. Step 5: Solve for x
    x = 156,207,148,130.25/256,935
  6. Step 6: Final answer
    x = 607,963.68

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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.