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Finding the Third Proportional to 270,494 and 578,512

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Solution

The third proportional to 270,494 and 578,512 is: 1,237,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,494 : 578,512 = 578,512 : x
  2. Step 2: Convert to fraction form
    270,494/578,512 = 578,512/x
  3. Step 3: Cross multiply
    270,494x = 578,512 × 578,512
  4. Step 4: Simplify right side
    270,494x = 334,676,134,144
  5. Step 5: Solve for x
    x = 334,676,134,144/270,494
  6. Step 6: Final answer
    x = 1,237,277.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.