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Finding the Third Proportional to 252,287 and 401,190

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Solution

The third proportional to 252,287 and 401,190 is: 637,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,287 : 401,190 = 401,190 : x
  2. Step 2: Convert to fraction form
    252,287/401,190 = 401,190/x
  3. Step 3: Cross multiply
    252,287x = 401,190 × 401,190
  4. Step 4: Simplify right side
    252,287x = 160,953,416,100
  5. Step 5: Solve for x
    x = 160,953,416,100/252,287
  6. Step 6: Final answer
    x = 637,977.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.