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Finding the Third Proportional to 256,825.50 and 553,179

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Solution

The third proportional to 256,825.50 and 553,179 is: 1,191,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,825.50 : 553,179 = 553,179 : x
  2. Step 2: Convert to fraction form
    256,825.50/553,179 = 553,179/x
  3. Step 3: Cross multiply
    256,825.50x = 553,179 × 553,179
  4. Step 4: Simplify right side
    256,825.50x = 306,007,006,041
  5. Step 5: Solve for x
    x = 306,007,006,041/256,825.50
  6. Step 6: Final answer
    x = 1,191,497.75

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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.