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Finding the Third Proportional to 256,926.75 and 553,223.25

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Solution

The third proportional to 256,926.75 and 553,223.25 is: 1,191,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,926.75 : 553,223.25 = 553,223.25 : x
  2. Step 2: Convert to fraction form
    256,926.75/553,223.25 = 553,223.25/x
  3. Step 3: Cross multiply
    256,926.75x = 553,223.25 × 553,223.25
  4. Step 4: Simplify right side
    256,926.75x = 306,055,964,340.56
  5. Step 5: Solve for x
    x = 306,055,964,340.56/256,926.75
  6. Step 6: Final answer
    x = 1,191,218.76

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Why These Related Problems?

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