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Finding the Third Proportional to 312,066 and 462,267

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Solution

The third proportional to 312,066 and 462,267 is: 684,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,066 : 462,267 = 462,267 : x
  2. Step 2: Convert to fraction form
    312,066/462,267 = 462,267/x
  3. Step 3: Cross multiply
    312,066x = 462,267 × 462,267
  4. Step 4: Simplify right side
    312,066x = 213,690,779,289
  5. Step 5: Solve for x
    x = 213,690,779,289/312,066
  6. Step 6: Final answer
    x = 684,761.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.