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Finding the Third Proportional to 255,318 and 548,538

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Solution

The third proportional to 255,318 and 548,538 is: 1,178,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,318 : 548,538 = 548,538 : x
  2. Step 2: Convert to fraction form
    255,318/548,538 = 548,538/x
  3. Step 3: Cross multiply
    255,318x = 548,538 × 548,538
  4. Step 4: Simplify right side
    255,318x = 300,893,937,444
  5. Step 5: Solve for x
    x = 300,893,937,444/255,318
  6. Step 6: Final answer
    x = 1,178,506.56

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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.