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Finding the Third Proportional to 335,360 and 506,192

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Solution

The third proportional to 335,360 and 506,192 is: 764,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,360 : 506,192 = 506,192 : x
  2. Step 2: Convert to fraction form
    335,360/506,192 = 506,192/x
  3. Step 3: Cross multiply
    335,360x = 506,192 × 506,192
  4. Step 4: Simplify right side
    335,360x = 256,230,340,864
  5. Step 5: Solve for x
    x = 256,230,340,864/335,360
  6. Step 6: Final answer
    x = 764,045.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.