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Finding the Third Proportional to 320,600.53 and 500,310.42

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Solution

The third proportional to 320,600.53 and 500,310.42 is: 780,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,600.53 : 500,310.42 = 500,310.42 : x
  2. Step 2: Convert to fraction form
    320,600.53/500,310.42 = 500,310.42/x
  3. Step 3: Cross multiply
    320,600.53x = 500,310.42 × 500,310.42
  4. Step 4: Simplify right side
    320,600.53x = 250,310,518,236.74
  5. Step 5: Solve for x
    x = 250,310,518,236.74/320,600.53
  6. Step 6: Final answer
    x = 780,755.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.