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Finding the Third Proportional to 307,512 and 477,252

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Solution

The third proportional to 307,512 and 477,252 is: 740,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,512 : 477,252 = 477,252 : x
  2. Step 2: Convert to fraction form
    307,512/477,252 = 477,252/x
  3. Step 3: Cross multiply
    307,512x = 477,252 × 477,252
  4. Step 4: Simplify right side
    307,512x = 227,769,471,504
  5. Step 5: Solve for x
    x = 227,769,471,504/307,512
  6. Step 6: Final answer
    x = 740,684.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.