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Finding the Third Proportional to 253,392 and 401,220

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Solution

The third proportional to 253,392 and 401,220 is: 635,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,392 : 401,220 = 401,220 : x
  2. Step 2: Convert to fraction form
    253,392/401,220 = 401,220/x
  3. Step 3: Cross multiply
    253,392x = 401,220 × 401,220
  4. Step 4: Simplify right side
    253,392x = 160,977,488,400
  5. Step 5: Solve for x
    x = 160,977,488,400/253,392
  6. Step 6: Final answer
    x = 635,290.33

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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.