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Finding the Third Proportional to 256,675.50 and 395,037

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Solution

The third proportional to 256,675.50 and 395,037 is: 607,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,675.50 : 395,037 = 395,037 : x
  2. Step 2: Convert to fraction form
    256,675.50/395,037 = 395,037/x
  3. Step 3: Cross multiply
    256,675.50x = 395,037 × 395,037
  4. Step 4: Simplify right side
    256,675.50x = 156,054,231,369
  5. Step 5: Solve for x
    x = 156,054,231,369/256,675.50
  6. Step 6: Final answer
    x = 607,982.57

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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.