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Finding the Third Proportional to 330,279 and 506,080.50

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Solution

The third proportional to 330,279 and 506,080.50 is: 775,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,279 : 506,080.50 = 506,080.50 : x
  2. Step 2: Convert to fraction form
    330,279/506,080.50 = 506,080.50/x
  3. Step 3: Cross multiply
    330,279x = 506,080.50 × 506,080.50
  4. Step 4: Simplify right side
    330,279x = 256,117,472,480.25
  5. Step 5: Solve for x
    x = 256,117,472,480.25/330,279
  6. Step 6: Final answer
    x = 775,457.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.