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Finding the Third Proportional to 312,030 and 670,739

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Solution

The third proportional to 312,030 and 670,739 is: 1,441,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,030 : 670,739 = 670,739 : x
  2. Step 2: Convert to fraction form
    312,030/670,739 = 670,739/x
  3. Step 3: Cross multiply
    312,030x = 670,739 × 670,739
  4. Step 4: Simplify right side
    312,030x = 449,890,806,121
  5. Step 5: Solve for x
    x = 449,890,806,121/312,030
  6. Step 6: Final answer
    x = 1,441,819.08

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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.