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Finding the Third Proportional to 261,805.50 and 400,322.25

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Solution

The third proportional to 261,805.50 and 400,322.25 is: 612,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,805.50 : 400,322.25 = 400,322.25 : x
  2. Step 2: Convert to fraction form
    261,805.50/400,322.25 = 400,322.25/x
  3. Step 3: Cross multiply
    261,805.50x = 400,322.25 × 400,322.25
  4. Step 4: Simplify right side
    261,805.50x = 160,257,903,845.06
  5. Step 5: Solve for x
    x = 160,257,903,845.06/261,805.50
  6. Step 6: Final answer
    x = 612,125.81

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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.