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Finding the Third Proportional to 451,685 and 665,052

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Solution

The third proportional to 451,685 and 665,052 is: 979,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,685 : 665,052 = 665,052 : x
  2. Step 2: Convert to fraction form
    451,685/665,052 = 665,052/x
  3. Step 3: Cross multiply
    451,685x = 665,052 × 665,052
  4. Step 4: Simplify right side
    451,685x = 442,294,162,704
  5. Step 5: Solve for x
    x = 442,294,162,704/451,685
  6. Step 6: Final answer
    x = 979,209.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.