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Finding the Third Proportional to 312,421.50 and 646,995.75

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Solution

The third proportional to 312,421.50 and 646,995.75 is: 1,339,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,421.50 : 646,995.75 = 646,995.75 : x
  2. Step 2: Convert to fraction form
    312,421.50/646,995.75 = 646,995.75/x
  3. Step 3: Cross multiply
    312,421.50x = 646,995.75 × 646,995.75
  4. Step 4: Simplify right side
    312,421.50x = 418,603,500,518.06
  5. Step 5: Solve for x
    x = 418,603,500,518.06/312,421.50
  6. Step 6: Final answer
    x = 1,339,867.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.