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Finding the Third Proportional to 310,309 and 675,914

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Solution

The third proportional to 310,309 and 675,914 is: 1,472,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,309 : 675,914 = 675,914 : x
  2. Step 2: Convert to fraction form
    310,309/675,914 = 675,914/x
  3. Step 3: Cross multiply
    310,309x = 675,914 × 675,914
  4. Step 4: Simplify right side
    310,309x = 456,859,735,396
  5. Step 5: Solve for x
    x = 456,859,735,396/310,309
  6. Step 6: Final answer
    x = 1,472,273.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.