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Finding the Third Proportional to 256,080 and 339,813

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Solution

The third proportional to 256,080 and 339,813 is: 450,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,080 : 339,813 = 339,813 : x
  2. Step 2: Convert to fraction form
    256,080/339,813 = 339,813/x
  3. Step 3: Cross multiply
    256,080x = 339,813 × 339,813
  4. Step 4: Simplify right side
    256,080x = 115,472,874,969
  5. Step 5: Solve for x
    x = 115,472,874,969/256,080
  6. Step 6: Final answer
    x = 450,925.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.