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Finding the Third Proportional to 312,028 and 670,735

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Solution

The third proportional to 312,028 and 670,735 is: 1,441,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,028 : 670,735 = 670,735 : x
  2. Step 2: Convert to fraction form
    312,028/670,735 = 670,735/x
  3. Step 3: Cross multiply
    312,028x = 670,735 × 670,735
  4. Step 4: Simplify right side
    312,028x = 449,885,440,225
  5. Step 5: Solve for x
    x = 449,885,440,225/312,028
  6. Step 6: Final answer
    x = 1,441,811.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.