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Finding the Third Proportional to 261,885 and 400,437

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Solution

The third proportional to 261,885 and 400,437 is: 612,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,885 : 400,437 = 400,437 : x
  2. Step 2: Convert to fraction form
    261,885/400,437 = 400,437/x
  3. Step 3: Cross multiply
    261,885x = 400,437 × 400,437
  4. Step 4: Simplify right side
    261,885x = 160,349,790,969
  5. Step 5: Solve for x
    x = 160,349,790,969/261,885
  6. Step 6: Final answer
    x = 612,290.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.