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Finding the Third Proportional to 256,148 and 541,288

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Solution

The third proportional to 256,148 and 541,288 is: 1,143,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,148 : 541,288 = 541,288 : x
  2. Step 2: Convert to fraction form
    256,148/541,288 = 541,288/x
  3. Step 3: Cross multiply
    256,148x = 541,288 × 541,288
  4. Step 4: Simplify right side
    256,148x = 292,992,698,944
  5. Step 5: Solve for x
    x = 292,992,698,944/256,148
  6. Step 6: Final answer
    x = 1,143,841.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.