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Finding the Third Proportional to 318,028 and 431,858

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Solution

The third proportional to 318,028 and 431,858 is: 586,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,028 : 431,858 = 431,858 : x
  2. Step 2: Convert to fraction form
    318,028/431,858 = 431,858/x
  3. Step 3: Cross multiply
    318,028x = 431,858 × 431,858
  4. Step 4: Simplify right side
    318,028x = 186,501,332,164
  5. Step 5: Solve for x
    x = 186,501,332,164/318,028
  6. Step 6: Final answer
    x = 586,430.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.