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Finding the Third Proportional to 253,265 and 401,039

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Solution

The third proportional to 253,265 and 401,039 is: 635,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,265 : 401,039 = 401,039 : x
  2. Step 2: Convert to fraction form
    253,265/401,039 = 401,039/x
  3. Step 3: Cross multiply
    253,265x = 401,039 × 401,039
  4. Step 4: Simplify right side
    253,265x = 160,832,279,521
  5. Step 5: Solve for x
    x = 160,832,279,521/253,265
  6. Step 6: Final answer
    x = 635,035.55

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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.