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Finding the Third Proportional to 427,500 and 667,130

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Solution

The third proportional to 427,500 and 667,130 is: 1,041,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,500 : 667,130 = 667,130 : x
  2. Step 2: Convert to fraction form
    427,500/667,130 = 667,130/x
  3. Step 3: Cross multiply
    427,500x = 667,130 × 667,130
  4. Step 4: Simplify right side
    427,500x = 445,062,436,900
  5. Step 5: Solve for x
    x = 445,062,436,900/427,500
  6. Step 6: Final answer
    x = 1,041,081.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.