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Finding the Third Proportional to 312,462 and 669,210

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Solution

The third proportional to 312,462 and 669,210 is: 1,433,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,462 : 669,210 = 669,210 : x
  2. Step 2: Convert to fraction form
    312,462/669,210 = 669,210/x
  3. Step 3: Cross multiply
    312,462x = 669,210 × 669,210
  4. Step 4: Simplify right side
    312,462x = 447,842,024,100
  5. Step 5: Solve for x
    x = 447,842,024,100/312,462
  6. Step 6: Final answer
    x = 1,433,268.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.