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Finding the Third Proportional to 246,720 and 328,000

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Solution

The third proportional to 246,720 and 328,000 is: 436,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,720 : 328,000 = 328,000 : x
  2. Step 2: Convert to fraction form
    246,720/328,000 = 328,000/x
  3. Step 3: Cross multiply
    246,720x = 328,000 × 328,000
  4. Step 4: Simplify right side
    246,720x = 107,584,000,000
  5. Step 5: Solve for x
    x = 107,584,000,000/246,720
  6. Step 6: Final answer
    x = 436,057.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.