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Finding the Third Proportional to 261,837.56 and 400,370.34

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Solution

The third proportional to 261,837.56 and 400,370.34 is: 612,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,837.56 : 400,370.34 = 400,370.34 : x
  2. Step 2: Convert to fraction form
    261,837.56/400,370.34 = 400,370.34/x
  3. Step 3: Cross multiply
    261,837.56x = 400,370.34 × 400,370.34
  4. Step 4: Simplify right side
    261,837.56x = 160,296,412,154.49
  5. Step 5: Solve for x
    x = 160,296,412,154.49/261,837.56
  6. Step 6: Final answer
    x = 612,197.92

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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.