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Finding the Third Proportional to 367,430 and 520,055

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Solution

The third proportional to 367,430 and 520,055 is: 736,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,430 : 520,055 = 520,055 : x
  2. Step 2: Convert to fraction form
    367,430/520,055 = 520,055/x
  3. Step 3: Cross multiply
    367,430x = 520,055 × 520,055
  4. Step 4: Simplify right side
    367,430x = 270,457,203,025
  5. Step 5: Solve for x
    x = 270,457,203,025/367,430
  6. Step 6: Final answer
    x = 736,078.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.