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Finding the Third Proportional to 256,220.72 and 374,455.41

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Solution

The third proportional to 256,220.72 and 374,455.41 is: 547,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,220.72 : 374,455.41 = 374,455.41 : x
  2. Step 2: Convert to fraction form
    256,220.72/374,455.41 = 374,455.41/x
  3. Step 3: Cross multiply
    256,220.72x = 374,455.41 × 374,455.41
  4. Step 4: Simplify right side
    256,220.72x = 140,216,851,269.85
  5. Step 5: Solve for x
    x = 140,216,851,269.85/256,220.72
  6. Step 6: Final answer
    x = 547,250.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.