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Finding the Third Proportional to 333,808 and 512,377

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Solution

The third proportional to 333,808 and 512,377 is: 786,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,808 : 512,377 = 512,377 : x
  2. Step 2: Convert to fraction form
    333,808/512,377 = 512,377/x
  3. Step 3: Cross multiply
    333,808x = 512,377 × 512,377
  4. Step 4: Simplify right side
    333,808x = 262,530,190,129
  5. Step 5: Solve for x
    x = 262,530,190,129/333,808
  6. Step 6: Final answer
    x = 786,470.64

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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.