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Finding the Third Proportional to 256,032 and 401,652

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Solution

The third proportional to 256,032 and 401,652 is: 630,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,032 : 401,652 = 401,652 : x
  2. Step 2: Convert to fraction form
    256,032/401,652 = 401,652/x
  3. Step 3: Cross multiply
    256,032x = 401,652 × 401,652
  4. Step 4: Simplify right side
    256,032x = 161,324,329,104
  5. Step 5: Solve for x
    x = 161,324,329,104/256,032
  6. Step 6: Final answer
    x = 630,094.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.