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Finding the Third Proportional to 321,120 and 493,755

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Solution

The third proportional to 321,120 and 493,755 is: 759,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,120 : 493,755 = 493,755 : x
  2. Step 2: Convert to fraction form
    321,120/493,755 = 493,755/x
  3. Step 3: Cross multiply
    321,120x = 493,755 × 493,755
  4. Step 4: Simplify right side
    321,120x = 243,794,000,025
  5. Step 5: Solve for x
    x = 243,794,000,025/321,120
  6. Step 6: Final answer
    x = 759,199.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.