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Finding the Third Proportional to 321,000 and 496,788

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Solution

The third proportional to 321,000 and 496,788 is: 768,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,000 : 496,788 = 496,788 : x
  2. Step 2: Convert to fraction form
    321,000/496,788 = 496,788/x
  3. Step 3: Cross multiply
    321,000x = 496,788 × 496,788
  4. Step 4: Simplify right side
    321,000x = 246,798,316,944
  5. Step 5: Solve for x
    x = 246,798,316,944/321,000
  6. Step 6: Final answer
    x = 768,842.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.