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Finding the Third Proportional to 256,950 and 553,269

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Solution

The third proportional to 256,950 and 553,269 is: 1,191,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,950 : 553,269 = 553,269 : x
  2. Step 2: Convert to fraction form
    256,950/553,269 = 553,269/x
  3. Step 3: Cross multiply
    256,950x = 553,269 × 553,269
  4. Step 4: Simplify right side
    256,950x = 306,106,586,361
  5. Step 5: Solve for x
    x = 306,106,586,361/256,950
  6. Step 6: Final answer
    x = 1,191,307.98

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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.