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Finding the Third Proportional to 486,070.50 and 667,491

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Solution

The third proportional to 486,070.50 and 667,491 is: 916,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,070.50 : 667,491 = 667,491 : x
  2. Step 2: Convert to fraction form
    486,070.50/667,491 = 667,491/x
  3. Step 3: Cross multiply
    486,070.50x = 667,491 × 667,491
  4. Step 4: Simplify right side
    486,070.50x = 445,544,235,081
  5. Step 5: Solve for x
    x = 445,544,235,081/486,070.50
  6. Step 6: Final answer
    x = 916,624.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.