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Finding the Third Proportional to 253,288 and 401,073

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Solution

The third proportional to 253,288 and 401,073 is: 635,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,288 : 401,073 = 401,073 : x
  2. Step 2: Convert to fraction form
    253,288/401,073 = 401,073/x
  3. Step 3: Cross multiply
    253,288x = 401,073 × 401,073
  4. Step 4: Simplify right side
    253,288x = 160,859,551,329
  5. Step 5: Solve for x
    x = 160,859,551,329/253,288
  6. Step 6: Final answer
    x = 635,085.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.