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Finding the Third Proportional to 256,986 and 552,244.50

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Solution

The third proportional to 256,986 and 552,244.50 is: 1,186,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,986 : 552,244.50 = 552,244.50 : x
  2. Step 2: Convert to fraction form
    256,986/552,244.50 = 552,244.50/x
  3. Step 3: Cross multiply
    256,986x = 552,244.50 × 552,244.50
  4. Step 4: Simplify right side
    256,986x = 304,973,987,780.25
  5. Step 5: Solve for x
    x = 304,973,987,780.25/256,986
  6. Step 6: Final answer
    x = 1,186,733.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.